What is the volume of this figure?

216 in³

240 in³

288 in³

312 in³
A right rectangular prism with a right triangular prism. The rectangular prism has a length of 6 inches, a width of 6 inches, and a height of 4 inches. The triangular prism shares a face with the rectangular prism. The triangular prism base has a length of 6 inches and a height of 4 inches. The height of the triangular prism is 6 inches.

Respuesta :

The volume of the composite figure made of a rectangular and triangular prism is 216 in³

How to find the volume of a rectangular prism

Volume of rectangular prism = length * width * height

Given the following parameters:

l = 6in

w = 6in

h = 4in

Substitute

V = 6 * 6 * 4

V = 144in³

The volume of the triangular prism = 1/3(6*4)*6
The volume of the triangular prism = 72 in³

Hence the volume of the figure  = 144in³ + 72 in³
The volume of the figure = 216 in³

Therefore the volume of this figure is 216 in³

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