Question

5.) Determine o volume de uma piramide quadrangular
regula, com aresla da base 9 cm e altura gual a
15cm.

A) 800 cm³
B) 405 cm³
C) 250 cm³
D) 135 cm³
E) 24 cm³​

Answer 1

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$\huge\boxed{\underline{\sf Volume~da~Pir\hat amide}}\\\boxed{\boxed{\boxed{\boxed{\boxed{\sf V=\dfrac{1}{3}\cdot B\cdot H}}}}}\\\boxed{\begin{array}{c}\sf V\longrightarrow volume~da~pir\hat amide\\\sf B\longrightarrow \acute area~da~base\\\sf H\longrightarrow altura~da~pir\hat amide\end{array}}$

$\sf a=9~cm\\\sf B=a^2\\\sf B=9^2\\\sf B=81~cm^2\\\sf H=15~cm\\\sf V=\dfrac{1}{3}\cdot B\cdot H\\\sf V=\dfrac{1}{\diagup\!\!\!\!3}\cdot 81\cdot\diagup\!\!\!\!\!15^5\\\sf V=81\cdot5\\\huge\boxed{\boxed{\boxed{\boxed{\sf V=405~cm^3\checkmark}}}}$