{"id":7144,"date":"2025-12-01T17:44:57","date_gmt":"2025-12-01T15:44:57","guid":{"rendered":"https:\/\/futura.study\/blog\/?p=7144"},"modified":"2025-12-01T17:44:58","modified_gmt":"2025-12-01T15:44:58","slug":"formulario-geometria-solida","status":"publish","type":"post","link":"https:\/\/futura.study\/blog\/materie\/matematica\/formulario-geometria-solida\/","title":{"rendered":"Formulario di Geometria Solida: Formule, Volumi e Aree (PDF Gratis)"},"content":{"rendered":"\n<!-- ============================= -->\n<!-- Futura | Formulario Geometria Solida -->\n<!-- ============================= -->\n\n<!-- SEO JSON-LD ARTICLE -->\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"Article\",\n  \"headline\": \"Formulario di Geometria Solida \u2013 Formule e definizioni\",\n  \"description\": \"Tutte le formule di geometria solida: volumi, aree totali, superfici laterali, poliedri, cilindri, coni, piramidi, sfere, prismi e molto altro. Scarica il formulario completo in PDF.\",\n  \"author\": { \"@type\": \"Person\", \"name\": \"Arturo Giampieri\" },\n  \"publisher\": {\n    \"@type\": \"Organization\",\n    \"name\": \"Futura\",\n    \"logo\": {\n      \"@type\": \"ImageObject\",\n      \"url\": \"https:\/\/futura.study\/wp-content\/uploads\/2025\/02\/futura-logo-white.svg\"\n    }\n  },\n  \"datePublished\": \"2025-12-01\",\n  \"dateModified\": \"2025-12-01\",\n  \"mainEntityOfPage\": \"https:\/\/futura.study\/blog\/formulario-geometria-solida\",\n  \"image\": \"https:\/\/futura.study\/blog\/wp-content\/uploads\/2025\/12\/formulario-geometria-solida.webp\"\n}\n<\/script>\n\n<!-- FAQ JSON-LD -->\n<script type=\"application\/ld+json\">\n{\n  \"@context\":\"https:\/\/schema.org\",\n  \"@type\":\"FAQPage\",\n  \"mainEntity\":[\n    {\n      \"@type\":\"Question\",\n      \"name\":\"Cosa contiene il formulario di geometria solida?\",\n      \"acceptedAnswer\":{\n        \"@type\":\"Answer\",\n        \"text\":\"Contiene formule di volumi e aree di tutti i solidi: prismi, cilindri, coni, sfere, parallelepipedi, piramidi e tronchi di piramide, con definizioni e schemi.\"\n      }\n    },\n    {\n      \"@type\":\"Question\",\n      \"name\":\"\u00c8 utile per il semestre filtro e le simulazioni?\",\n      \"acceptedAnswer\":{\n        \"@type\":\"Answer\",\n        \"text\":\"S\u00ec. La geometria solida \u00e8 molto comune nei quesiti matematici del semestre filtro, nei TOLC, nei test privati e nelle simulazioni di Futura.\"\n      }\n    },\n    {\n      \"@type\":\"Question\",\n      \"name\":\"Il PDF \u00e8 gratuito?\",\n      \"acceptedAnswer\":{\n        \"@type\":\"Answer\",\n        \"text\":\"S\u00ec, il formulario di geometria solida \u00e8 scaricabile gratuitamente e disponibile anche in anteprima.\"\n      }\n    }\n  ]\n}\n<\/script>\n\n\n<!-- ============================= -->\n<!-- STILI \u2013 TEMPLATE FUTURA -->\n<!-- ============================= -->\n\n<style>\n:root{\n  --blue:#379CE1;\n  --blue-dark:#0b3d91;\n  --hover:#EBF5FC;\n  --line:#EDEFF2;\n  --text:#112d44;\n  --muted:#6b7a90;\n  --bg:#f7f9fc;\n  --radius:16px;\n  --shadow:0 10px 28px rgba(0,0,0,.08);\n}\n\n.f-wrap{max-width:980px;margin:0 auto;padding:28px 20px;font-family:Inter,system-ui,-apple-system,Segoe 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0;font-size:18px;color:#1d3653;}\n.f-preview__actions{display:flex;flex-wrap:wrap;gap:10px;margin-top:8px;}\n.f-preview__embed{display:none;margin-top:12px;border:1px solid var(--line);border-radius:12px;overflow:hidden;height:70vh;}\n.f-preview__btn{border-radius:999px;padding:10px 16px;border:1px solid var(--blue);font-weight:700;text-decoration:none;cursor:pointer;background:#fff;color:var(--blue);}\n.f-preview__btn:hover{background:var(--hover);}\n\n\/* FAQ *\/\n.f-faq__item{border-bottom:1px solid var(--line);}\n.f-faq__q{width:100%;text-align:left;background:#fff;border:0;padding:14px 0;font-weight:700;color:#0f2e50;cursor:pointer;}\n.f-faq__q:hover{color:var(--blue-dark);}\n.f-faq__a{display:none;padding:0 0 14px 0;color:#273c52;}\n<\/style>\n\n\n<!-- ============================= -->\n<!-- CONTENUTO -->\n<!-- ============================= -->\n\n<div class=\"f-wrap\">\n\n  <!-- INTRO -->\n  <section class=\"f-card\">\n    <p class=\"f-eyebrow\" style=\"text-transform:uppercase;color:var(--blue-dark);font-weight:700;\">Matematica \u00b7 Geometria Solida<\/p>\n    <p>\n      La geometria solida \u00e8 uno dei temi pi\u00f9 ricorrenti nei test di matematica del <strong>semestre filtro<\/strong>, del <strong>TOLC-I<\/strong>, dei test privati e delle simulazioni Futura.  \n      Per aiutarti a memorizzare rapidamente tutte le formule abbiamo creato un <strong>formulario completo e sintetico<\/strong> con: volumi, aree laterali, aree totali, superfici e propriet\u00e0 dei principali solidi.\n    <\/p>\n\n    <!-- MINI ANTEPRIMA PDF -->\n    <div class=\"f-preview\" id=\"geo-preview\">\n      <div class=\"f-preview__thumb\" aria-hidden=\"true\">\n        <!-- Icona PDF -->\n        <svg viewBox=\"0 0 64 64\" role=\"img\">\n          <rect x=\"10\" y=\"6\" width=\"44\" height=\"52\" rx=\"6\" fill=\"#fff\" stroke=\"#cfe0ff\"><\/rect>\n          <rect x=\"16\" y=\"14\" width=\"30\" height=\"5\" rx=\"3\" fill=\"#dbe8ff\"><\/rect>\n          <rect x=\"16\" y=\"23\" width=\"28\" height=\"4\" rx=\"2\" fill=\"#eaf1ff\"><\/rect>\n          <rect x=\"16\" y=\"31\" width=\"26\" height=\"4\" rx=\"2\" fill=\"#eaf1ff\"><\/rect>\n          <rect x=\"16\" y=\"39\" width=\"24\" height=\"4\" rx=\"2\" fill=\"#eaf1ff\"><\/rect>\n          <rect x=\"36\" y=\"6\" width=\"18\" height=\"14\" rx=\"4\" fill=\"#ff3b3f\"><\/rect>\n          <text x=\"45\" y=\"16\" text-anchor=\"middle\" font-size=\"8\" font-family=\"Inter\" fill=\"#fff\">PDF<\/text>\n        <\/svg>\n      <\/div>\n      <div class=\"f-preview__body\">\n        <h3>Formulario di Geometria Solida \u2013 PDF<\/h3>\n        <p class=\"f-note\" style=\"margin:0;\">Volumi, aree totali, superfici laterali e definizioni dei solidi.<\/p>\n        <div class=\"f-preview__actions\">\n          <button class=\"f-preview__btn\" data-preview-toggle=\"#embed-formulario-geo\">Visualizza anteprima<\/button>\n          <a class=\"f-btn f-btn--primary\" href=\"https:\/\/futura.study\/blog\/wp-content\/uploads\/2025\/12\/bigliettino-geometria.pdf\" target=\"_blank\">\u2b07\ufe0f Scarica il PDF<\/a>\n        <\/div>\n      <\/div>\n    <\/div>\n\n    <!-- AREA EMBED -->\n    <div id=\"embed-formulario-geo\" class=\"f-preview__embed\" aria-label=\"Anteprima Formulario Geometria Solida\">\n      <iframe\n        title=\"Formulario di Geometria Solida - Anteprima\"\n        data-src=\"https:\/\/futura.study\/blog\/wp-content\/uploads\/2025\/12\/bigliettino-geometria.pdf#page=1&#038;zoom=page-fit\"\n        width=\"100%\" height=\"100%\" style=\"border:0;\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\">\n      <\/iframe>\n    <\/div>\n  <\/section>\n\n\n  <!-- BANNER 1 \u2013 RIPETIZIONI -->\n  <div class=\"futura-banner\">\n    <h2>Ripetizioni di Matematica e Geometria Solida<\/h2>\n    <p>Studia le formule con un tutor Futura e chiarisci subito dubbi su volumi, aree e problemi di geometria.<\/p>\n    <a href=\"https:\/\/ripetizioni-lp.futura.study\/ripetizioni-scolastiche-online?utm_source=blog&#038;utm_campaign=formulario-geometria\" target=\"_blank\">\n      Prenota una lezione di prova\n    <\/a>\n  <\/div>\n\n\n  <!-- CONTENUTO PRINCIPALE -->\n  <section class=\"f-card\">\n    <h2 class=\"f-section-title\">Cosa trovi nel formulario<\/h2>\n\n    <ul class=\"f-list\">\n      <li><strong>Parallelepipedo e cubo<\/strong> \u2013 Volumi, diagonali, area laterale e totale.<\/li>\n      <li><strong>Prismi<\/strong> \u2013 Volume, superfici, formule generali per ogni base poligonale.<\/li>\n      <li><strong>Cilindro<\/strong> \u2013 Volume, area laterale, area totale.<\/li>\n      <li><strong>Piramide<\/strong> \u2013 Volume, superfici, apotema, formule rapide.<\/li>\n      <li><strong>Tronco di piramide<\/strong> \u2013 Volume e superfici da basi diverse.<\/li>\n      <li><strong>Cono<\/strong> \u2013 Volume, area laterale con generatrice, area totale.<\/li>\n      <li><strong>Tronco di cono<\/strong> \u2013 Volume, superfici, relazioni tra raggi.<\/li>\n      <li><strong>Sfera e calotta sferica<\/strong> \u2013 Volume, area, formule per porzioni sferiche.<\/li>\n      <li><strong>Poliedri regolari<\/strong> \u2013 Tetraedro, esaedro, dodecaedro e icosaedro.<\/li>\n    <\/ul>\n  <\/section>\n\n\n  <section class=\"f-card\">\n    <h2 class=\"f-section-title\">Come usare il formulario per studiare<\/h2>\n    <p>\n      Questo formulario \u00e8 progettato per velocizzare il ripasso, soprattutto nelle ultime fasi della preparazione ai test.\n    <\/p>\n    <p>Suggerimenti:<\/p>\n    <ul class=\"f-list\">\n      <li>Ripeti le formule per gruppi: prismi \u2192 piramidi \u2192 corpi di rotazione.<\/li>\n      <li>Durante le simulazioni, utilizza il PDF per rivedere rapidamente volumi e aree.<\/li>\n      <li>Aggiungi esempi e annotazioni a margine per fissare meglio le formule pi\u00f9 complesse.<\/li>\n    <\/ul>\n  <\/section>\n\n\n  <!-- FAQ -->\n  <section class=\"f-card\" id=\"faq\">\n    <h2 class=\"f-section-title\">FAQ sul Formulario di Geometria Solida<\/h2>\n    <div class=\"f-faq\" data-accordion>\n\n      <article class=\"f-faq__item\">\n        <button class=\"f-faq__q\" aria-expanded=\"false\">Cosa contiene il formulario?<\/button>\n        <div class=\"f-faq__a\">\n          <p>Contiene tutte le formule sui solidi: volumi, superfici laterali e totali, schemi e definizioni essenziali.<\/p>\n        <\/div>\n      <\/article>\n\n      <article class=\"f-faq__item\">\n        <button class=\"f-faq__q\" aria-expanded=\"false\">\u00c8 utile per il semestre filtro?<\/button>\n        <div class=\"f-faq__a\">\n          <p>S\u00ec, la geometria solida compare spesso nei quesiti di matematica dei test di Medicina, Professioni Sanitarie e Ingegneria.<\/p>\n        <\/div>\n      <\/article>\n\n      <article class=\"f-faq__item\">\n        <button class=\"f-faq__q\" aria-expanded=\"false\">Il PDF \u00e8 gratuito?<\/button>\n        <div class=\"f-faq__a\">\n          <p>S\u00ec, il PDF \u00e8 scaricabile gratuitamente e pronto all\u2019uso.<\/p>\n        <\/div>\n      <\/article>\n\n    <\/div>\n  <\/section>\n\n\n  <!-- BANNER 2 \u2013 RIPETIZIONI -->\n  <div class=\"futura-banner\">\n    <h2>Hai dubbi sugli esercizi di geometria?<\/h2>\n    <p>Lavora passo passo con un tutor Futura su problemi, verifiche e preparazione ai test di matematica.<\/p>\n    <a href=\"https:\/\/ripetizioni-lp.futura.study\/ripetizioni-scolastiche-online?utm_source=blog&#038;utm_campaign=formulario-geometria\" target=\"_blank\">\n      Scopri le ripetizioni online\n    <\/a>\n  <\/div>\n\n\n  <!-- DOWNLOAD -->\n  <section class=\"f-card\">\n    <h2 class=\"f-section-title\">Scarica il Formulario di Geometria Solida<\/h2>\n    <p>\n      Ottieni il <strong>Formulario di Geometria Solida<\/strong> in PDF: chiaro, sintetico e indispensabile per i test di matematica.\n    <\/p>\n    <a class=\"f-btn f-btn--primary\" href=\"https:\/\/futura.study\/blog\/wp-content\/uploads\/2025\/12\/bigliettino-geometria.pdf\" target=\"_blank\">\u2b07\ufe0f Scarica il PDF completo<\/a>\n  <\/section>\n\n<\/div>\n\n\n<script>\n\/\/ Toggle PDF Preview\ndocument.querySelectorAll('[data-preview-toggle]').forEach(btn=>{\n  btn.addEventListener('click', ()=>{\n    const target = document.querySelector(btn.getAttribute('data-preview-toggle'));\n    if(!target) return;\n    const visible = target.style.display === 'block';\n    target.style.display = visible ? 'none' : 'block';\n    btn.textContent = visible ? 'Visualizza anteprima' : 'Nascondi anteprima';\n  });\n});\n\n\/\/ FAQ accordion\nfunction setupAccordion(root){\n  const container = document.querySelector(root);\n  if(!container) return;\n  container.querySelectorAll('[aria-expanded]').forEach(btn=>{\n    btn.addEventListener('click', ()=>{\n      const expanded = btn.getAttribute('aria-expanded') === 'true';\n      btn.setAttribute('aria-expanded', String(!expanded));\n      const panel = btn.nextElementSibling;\n      if(panel) panel.style.display = expanded ? 'none' : 'block';\n    });\n  });\n}\nsetupAccordion('[data-accordion]');\n<\/script>\n\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematica \u00b7 Geometria Solida La geometria solida \u00e8 uno dei temi pi\u00f9 ricorrenti nei test di matematica del semestre filtro, del TOLC-I, dei test privati e delle simulazioni Futura. Per&#8230;<\/p>\n","protected":false},"author":9,"featured_media":7145,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"content-type":"","footnotes":""},"categories":[203,163],"tags":[58],"class_list":{"0":"post-7144","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematica","8":"category-materie","9":"tag-test-di-medicina"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Formulario Geometria Solida: formule, volumi e aree \u2013 PDF gratuito<\/title>\n<meta name=\"description\" content=\"Scarica il formulario di geometria solida con tutte le formule: volumi, superfici, aree totali e laterali di prismi, cilindri, coni, sfere e piramidi. PDF gratuito e pronto per il ripasso.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/futura.study\/blog\/materie\/matematica\/formulario-geometria-solida\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Formulario Geometria Solida: formule, volumi e aree \u2013 PDF gratuito\" \/>\n<meta property=\"og:description\" content=\"Scarica il formulario di geometria solida con tutte le formule: volumi, superfici, aree totali e laterali di prismi, cilindri, coni, sfere e piramidi. PDF gratuito e pronto per il ripasso.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/futura.study\/blog\/materie\/matematica\/formulario-geometria-solida\/\" \/>\n<meta property=\"og:site_name\" content=\"Futura Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/AccademiadeiTest\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-01T15:44:57+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-12-01T15:44:58+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/futura.study\/blog\/wp-content\/uploads\/2025\/12\/formulario-geometria-solida.webp?wsr\" \/>\n\t<meta property=\"og:image:width\" content=\"1536\" \/>\n\t<meta property=\"og:image:height\" content=\"1024\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/webp\" \/>\n<meta name=\"author\" content=\"Arturo\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Scritto da\" \/>\n\t<meta name=\"twitter:data1\" content=\"Arturo\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo di lettura stimato\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minuti\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Formulario Geometria Solida: formule, volumi e aree \u2013 PDF gratuito","description":"Scarica il formulario di geometria solida con tutte le formule: volumi, superfici, aree totali e laterali di prismi, cilindri, coni, sfere e piramidi. 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