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
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
Answers
GPT 3.5
The volume of the two side prisms can be calculated as 16 inches x 7 inches x 7 inches = 784 cubic inches. Since there are two identical side prisms, the total volume for the side prisms is 2 x 784 cubic inches = 1568 cubic inches.
The volume of the center prism can be calculated as 8 inches x 10 inches x 7 inches = 560 cubic inches.
Therefore, the total volume of the composite figure is 1568 cubic inches + 560 cubic inches = 2128 cubic inches.
The volume of the center prism can be calculated as 8 inches x 10 inches x 7 inches = 560 cubic inches.
Therefore, the total volume of the composite figure is 1568 cubic inches + 560 cubic inches = 2128 cubic inches.