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

Find the volume of the composite figureFirst find the volume of the rectangularprismRectangular prismVolume cmTriangular prismVolume cm7 cm6 cmTotal Volume of6 class=

Respuesta :

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:

[tex]\begin{gathered} Volume\text{ =length}\times breadth\times height \\ =8\times7\times6 \\ =336\text{ cm}^3 \end{gathered}[/tex]

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

The volume of triangular prism is calculated as:

[tex]\begin{gathered} Volume\text{ =}\frac{1}{2}\times l\text{ength}\times breadth\times height \\ =\frac{1}{2}\times6\times7\times6 \\ =126\text{ cm}^3 \end{gathered}[/tex]

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