To find the volume of the composite figure, we first need to find the volume of each rectangular prism and then add them together.
Volume of side prisms:
V = lwh
V = 16in * 7in * 7in
V = 784 cubic inches
Volume of center prism:
V = lwh
V = 10in * 8in * 7in
V = 560 cubic inches
Total volume of the composite figure:
784 cubic inches + 560 cubic inches = 1344 cubic inches
Therefore, the volume of the composite figure is 1344 cubic inches.
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?
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