To find the volume of the composite figure, we need to find the volumes of the rectangular prism and the two triangular prisms separately, and then add them together.
Volume of the rectangular prism:
Length x Width x Height
= 14 cm x 5 cm x 4 cm
= 280 cm3
Volume of one triangular prism:
1/2 x base x height x length
= 1/2 x 5 cm x 6 cm x 14 cm
= 210 cm3
Total volume of the composite figure:
280 cm3 (rectangular prism) + 210 cm3 (each triangular prism) x 2
= 280 cm3 + 420 cm3
= 700 cm3
Therefore, the volume of the composite figure is 700 cm3.
Use the image to answer the question.
An illustration shows a rectangular prism joined two triangular prisms on either side. The illustration shows two identical triangular prisms, each with one side attached to the length of the rectangular prism. The sides attached to the rectangular prism are oriented such that the triangular prisms are mirror images of one another. The length of the rectangular prism is 14 centimeters. The width and the height are 5 centimeters and 4 centimeters respectively. The distance from the apex of the triangular prism to the base is 6 centimeters.
Solve for the volume of the composite figure.
(1 point)
Responses
616 cm3
616 cm cubed
952 cm3
952 cm cubed
448 cm3
448 cm cubed
154 cm3
154 cm cubed
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1 answer
1 answer