Question

Find the volume of the composite figure.First, find the volume of the rectangularprism.

Answer 1

Given:

Rectangular prism:

Length = 8cm

Width = 6cm

Height = 7cm

Triangular prism:

Height = 7cm

Base = 6cm

Width = 6cm

Find-: Volume of a rectangular prism, triangular prism, and total prism.

Sol:

The volume of the Rectangular prism.

`\begin{gathered} V=w* h* l \\ \\ V=8*6*7 \\ \\ V=336 \end{gathered}`

The volume of the Triangular prism.

`\begin{gathered} V=(1)/(2)* b* w* h \\ \\ V=(1)/(2)*6*6*7 \\ \\ V=126 \end{gathered}`

The total volume of the composite figure is:

`\begin{gathered} V=336+126 \\ V=462 \end{gathered}`