Volume Unit Test

Question

10 of 1510 of 15 Items

Question
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

Answer 1

To find the volume of the composite figure, we first need to find the volume of each rectangular prism separately and then add them together.

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 side prisms, the total volume of the side prisms is:
2 x 784 = 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, add the volumes of the side prisms and the center prism:
1568 (side prism) + 560 (center prism) = 2128 cubic inches

Therefore, the volume of the composite figure is 2128 cubic inches.