The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Volume of the rectangular prism = 14 cm * 5 cm * 4 cm = 280 cm^3
The volume of a triangular prism is given by the formula V = 1/2 * b * h * l, where b is the base, h is the height, and l is the length.
Volume of one triangular prism = 1/2 * 5 cm * 4 cm * 6 cm = 60 cm^3
Since there are two identical triangular prisms attached to the rectangular prism, the total volume of the two triangular prisms is 2 * 60 cm^3 = 120 cm^3
Therefore, the total volume of the composite figure is 280 cm^3 (rectangular prism) + 120 cm^3 (triangular prisms) = 400 cm^3
So, the correct answer is not provided in the options. The correct answer is 400 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
616 cm3
616 cm cubed
448 cm3
448 cm cubed
154 cm3
154 cm cubed
952 cm3
1 answer
1 answer