Question

Use the image to answer the question.

An illustration shows an inverted U-shaped structure made up of three rectangular prisms. Two identical rectangular prisms are placed on either side of a center rectangular prism. The side prisms are 16 inches long, 7 inches wide, and 7 inches high. The prism placed in between the two rectangles is 8 inches wide and 10 inches long.

What is the volume of the composite figure?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the composite figure, we need to find the volume of each rectangular prism separately and then add them together.

Volume of side prism:
Volume = length × width × height
Volume = 16 inches × 7 inches × 7 inches
Volume = 784 cubic inches

Volume of center prism:
Volume = length × width × height
Volume = 10 inches × 8 inches × 7 inches
Volume = 560 cubic inches

Total volume of the composite figure:
Total volume = 2(side prism volume) + center prism volume
Total volume = 2(784 cubic inches) + 560 cubic inches
Total volume = 1568 cubic inches + 560 cubic inches
Total volume = 2128 cubic inches

Therefore, the volume of the composite figure is 2128 cubic inches.