Question

Find this figure's volume. Round your answers to the nearest hundredth, if necessary.7 cm5 cmV4.8 cm

Answer 1

Solution:

Concept:

The volume of a pentagonal prism is calculated using the formula below

$\begin{gathered} V=\frac{5}{2}abh \\ a=4.8cm \\ b=7cm \\ h=5cm \end{gathered}$

y substituting the values, we will have

$\begin{gathered} V=\frac{5}{2}\times a\times b\times h \\ V=\frac{5}{2}\times4.8cm\times7cm\times5cm \\ V=\frac{840}{2}cm^3 \\ V=420cm^3 \end{gathered}$

Hence,

The volume of the figure is

$\Rightarrow420cm^3$