To find the volume of the composite figure, we first need to find the volume of each individual rectangular prism and then add them together.
Volume of the side prisms:
Volume = Length x Width x Height
Volume = 16 inches x 7 inches x 7 inches
Volume = 784 cubic inches
Volume of the center prism:
Volume = Length x Width x Height
Volume = 10 inches x 8 inches x 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
The volume of the composite figure is 2128 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?
(1 point)
in.3
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