To solve for the volume of the composite figure, we need to find the volume of each individual prism and then add them together.
Volume of rectangular prism: length x width x height = 14 cm x 5 cm x 4 cm = 280 cm^3
Volume of each triangular prism: 1/2 x base x height x length = 1/2 x 5 cm x 6 cm x 14 cm = 420 cm^3 (since there are 2 identical triangular prisms, the total volume = 2 x 420 cm^3 = 840 cm^3)
Total volume of composite figure = volume of rectangular prism + volume of triangular prisms
= 280 cm^3 + 840 cm^3
= 1120 cm^3
So, the correct answer is not listed but the closest possible option is 952 cm^3.
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
952 cm3
952 cm cubed
154 cm3
154 cm cubed
616 cm3
616 cm cubed
448 cm3
1 answer