1 answer
(click or scroll down)
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?
Bot GPT 3.5
answered
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.