To find the volume of the composite figure, we first need to calculate the volume of each individual prism.
Volume of the side prisms:
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
Since there are two identical side prisms, the total volume of both side prisms combined is:
Total volume of side prisms = 2 x 784
Total volume of side prisms = 1568 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
Now, to find the total volume of the composite figure, we add the volumes of the side prisms and the center prism:
Total volume = Total volume of side prisms + Volume of center prism
Total volume = 1568 + 560
Total volume = 2128 cubic inches
Therefore, the volume of the composite figure made up of three rectangular prisms is 2128 cubic inches.
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 answer