Question

This figure is made of two identicaltriangular prisms connected to onerectangular prism. Find its total volume.14 in.2 in.2 in. →->3 in.3 in.The volume of the figureiscubic in.

Answer 1

From the given figure

The volume of the figure is

$V=\frac{1}{2}Bh+\text{whl}\times\frac{1}{2}Bh$

Where B = base area of the triangular prism.

Hence, the volume is

$V=\frac{1}{2}\times(2in\times3in)\times2in+(14in\times2in\times2in)+\frac{1}{2}\times(2in\times3in)\times2in$

Simplify the expression

$\begin{gathered} V=6in^3+56in^3+6in^3 \\ V=68in^3 \end{gathered}$

Therefore, the volume of the figure i 68 cubic in