Question

Determina o volume de cada paralelepipedo retângulo (medidas dadas em cm):​

Answer 1

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$v = \sqrt{15} \: cm \times \sqrt{10} \: cm \times \sqrt{6} \: cm \\ \\v = \sqrt{15 \times 10 \times 6} \: {cm}^{3} \\ \\ v = \sqrt{900} \: {cm}^{3} \\ \\ v = 30 \: {cm}^{3}$

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$v = \sqrt{21} \: cm \: \times \: \sqrt{14} \: cm \: \times \sqrt{6} \: cm \\ \\ v = \sqrt{21 \times 14 \times 6} \: {cm}^{3} \\ \\ v = \sqrt{1764} \: {cm}^{3} \\ \\ v = 42 \: {cm}^{3}$

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$v = \sqrt{5} \: cm \: \times \sqrt{3} \: cm \: \times \sqrt{15} \: cm \\ \\ v = \sqrt{5 \times 3 \times 15} \: {cm}^{3} \\ \\ v = \sqrt{15 \times 15} \: {cm}^{3} = \sqrt{ {15}^{2} } \: {cm}^{3} \\ \\ v = 15 \: {cm}^{3}$