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 calculate the volume of the composite figure, we first need to find the volume of each rectangular prism and then add them together.
Volume of each side prism:
Length = 16 inches
Width = 7 inches
Height = 7 inches
Volume = Length x Width x Height
Volume = 16 x 7 x 7
Volume = 784 cubic inches
Volume of the center prism:
Length = 10 inches
Width = 8 inches
Height = 7 inches
Volume = Length x Width x Height
Volume = 10 x 8 x 7
Volume = 560 cubic inches
Total volume of the composite figure:
Total volume = (Volume of side prism) x 2 + Volume of center prism
Total volume = (784) x 2 + 560
Total volume = 1568 + 560
Total volume = 2128 cubic inches
Therefore, the volume of the composite figure is 2128 cubic inches.