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?
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.