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=(1)/(2)Bh+\text{whl}*(1)/(2)Bh`

Where B = base area of the triangular prism.

Hence, the volume is

`V=(1)/(2)*(2in*3in)*2in+(14in*2in*2in)+(1)/(2)*(2in*3in)*2in`

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