Question
Volume Unit Test
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
Answers
GPT 3.5
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.
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.