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?

box in.3

1 answer

The volume of the rectangular prism can be calculated using the formula V = l x w x h, where l is the length, w is the width, and h is the height. Plugging in the values, V = 6 x 6 x 2 = 72 in^3.

The volume of the cube can be calculated using the formula V = s^3, where s is the side length. Plugging in the value, V = 2^3 = 8 in^3.

Adding the volumes of the rectangular prism and the cube together: 72 + 8 = 80 in^3.

Therefore, the volume of the composite figure is 80 in^3.