Question

Find the volume of the composite figure.First, find the volume of the rectangularprism.Rectangular prismVolume = [?] cm³Triangular prismVolume=[] cm³7 cm6 cmTotal Volume of6 cmComposite Figure = [ ]cm³8 cm

Answer 1

Given,

The length of the rectangular prism is 8 cm.

The breadth of the rectangular prism is 6 cm.

The height of the rectangular prism is 7 cm.

The altitude of triangular prism is 7 cm.

The measure of length and width of the triangular prism is 6 cm and 6 cm.

Required:

Volume of rectangular prism, triangular prism and composite prism.

The volume of rectangular prism is calculated as:

`\begin{gathered} Volume\text{ =length}* breadth* height \\ =8*7*6 \\ =336\text{ cm}^3 \end{gathered}`

Hence, the volume of the rectangular prism is 336 cm^3.

The volume of triangular prism is calculated as:

`\begin{gathered} Volume\text{ =}(1)/(2)* l\text{ength}* breadth* height \\ =(1)/(2)*6*7*6 \\ =126\text{ cm}^3 \end{gathered}`

Hence, the volume of the triangular prism is 126 cm^3.