use the image to answer the question.An illustration shows a cube placed on the top and center of a larger rectangular prism. The length and width of the prism is 6 inches respectively and 2 inches high. The sides of the cube are 2 inches.What is the volume of the composite figure?(1 point) in.3 ___

1 answer

The volume of the rectangular prism can be calculated using the formula V = lwh, where l is the length, w is the width, and h is the height.

Given:
l = 6 inches
w = 6 inches
h = 2 inches

Vrectangular prism = 6 x 6 x 2
Vrectangular prism = 72 inches cubed

The volume of the cube can be calculated using the formula V = s^3, where s is the length of the side of the cube.

Given:
s = 2 inches

Vcube = 2^3
Vcube = 8 inches cubed

To find the volume of the composite figure, we add the volume of the rectangular prism and the volume of the cube.

Vcomposite figure = Vrectangular prism + Vcube
Vcomposite figure = 72 + 8
Vcomposite figure = 80 inches cubed

Therefore, the volume of the composite figure is 80 cubic inches.
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