2. DBH/09. Gorputz geometrikoak Dodekaedro baten azalera (txarto!!!) #m

Jakinda irudiko poliedroaren aurpegiak eratzen duten poligonoaren aldeak #a cm dituela. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat aurpegi ditu prisma honek? {#1}

Zein da poliedro honen izena? {#2}

Aurpegi bakoitzaren azalera: {#3}

Poliedroaren guztizko azalera: {#4}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>oktaedro</mi><mfenced><mi>a</mi></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>marraztu3d</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mfenced><mfrac><mi>a</mi><mn>2</mn></mfrac></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>at</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aT</mi><mo>=</mo><mn>8</mn><mo>*</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Hexaedro baten azalera #m

Jakinda irudiko poliedroaren aurpegiak eratzen duten poligonoaren aldeak #a cm dituela. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat aurpegi ditu prisma honek? {#1}

Zein da poliedro honen izena? {#2}

Aurpegi bakoitzaren azalera: {#3}

Poliedroaren guztizko azalera: {#4}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>kubo</mi><mfenced><mi>a</mi></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>marraztu3d</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ak</mi><mo>=</mo><msup><mi>a</mi><mn>2</mn></msup><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aT</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>ak</mi><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Ikosaedro baten azalera #m

Jakinda irudiko poliedroaren aurpegiak eratzen duten poligonoaren aldeak #a cm dituela. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat aurpegi ditu prisma honek? {#1}

Zein da poliedro honen izena? {#2}

Aurpegi bakoitzaren azalera: {#3}

Poliedroaren guztizko azalera: {#4}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>ikosaedro</mi><mfenced><mi>a</mi></mfenced><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>marraztu3d</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mfenced><mfrac><mi>a</mi><mn>2</mn></mfrac></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>at</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aT</mi><mo>=</mo><mn>20</mn><mo>*</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Oktoedro baten azalera #m

Jakinda irudiko poliedroaren aurpegiak eratzen duten poligonoaren aldeak #a cm dituela. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat aurpegi ditu prisma honek? {#1}

Zein da poliedro honen izena? {#2}

Aurpegi bakoitzaren azalera: {#3}

Poliedroaren guztizko azalera: {#4}

Jakinda irudiko prismaren oinarria eratzen duen poligonoaren aldeak #a cm dituela eta prismaren altuera #b cm direla. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat oinarri ditu prisma batek? {#1}

Oinarriaren azalera: {#2}

Zenbat alde ditu prisma honek? {#3}

Alde bakoitzaren azalera: {#4}

Alde guztien azalera: {#5}

Prismaren guztizko azalera: {#6}

]]> 21.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>prisma</mi><mo>(</mo><mi>poligono</mi><mo>(</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>puntu</mi><mo>(</mo><mn>0</mn><mo>,</mo><mi>a</mi><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>puntu</mi><mo>(</mo><mi>a</mi><mo>,</mo><mi>a</mi><mo>,</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>puntu</mi><mo>(</mo><mi>a</mi><mo>,</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>)</mo><mo>,</mo><mi>b</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>marraztu3d</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>a</mi><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a2</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a3</mi><mo>=</mo><mn>4</mn><mo>*</mo><mi>a2</mi><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aT</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a1</mi><mo>+</mo><mi>a3</mi><mo>;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Tetraedro baten azalera #m

Jakinda irudiko poliedroaren aurpegiak eratzen duten poligonoaren aldeak #a cm dituela. Kalkulatu (EZ AHAZTU UNITATEAK!!):

Zenbat aurpegi ditu prisma honek? {#1}

Zein da poliedro honen izena? {#2}

Aurpegi bakoitzaren azalera: {#3}

Poliedroaren guztizko azalera: {#4}

]]> 10.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="eu" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="eu">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>ausazko</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>tetraedro</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>marraztu3d</mi><mo>(</mo><mi>p</mi><mo>)</mo><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>-</mo><msup><mfenced><mfrac><mi>a</mi><mn>2</mn></mfrac></mfenced><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>at</mi><mo>=</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aT</mi><mo>=</mo><mn>4</mn><mo>*</mo><mfrac><mrow><mi>a</mi><mo>*</mo><mi>h</mi></mrow><mn>2</mn></mfrac><msup><csymbol definitionURL="http://.../units/meter#c">cm</csymbol><mn>2</mn></msup><mo>;</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>