Volume of Composite 3D Figures Quick Check

Question

3 of 53 of 5 Items

Question
Use the image to answer the question.
An illustration shows a that is shaped like a rectangular prism with two triangular prisms placed on the top, one on each side. The width of the rectangular prism is 10 inches, and the height is 12 inches. The base length of the triangular prisms on the top of the house is 8 inches each. There is a 2-inch gap between the two triangular prisms. The perpendicular height of the triangular prisms is 6 inches. A window is drawn on the face of each triangular prism, and a door is drawn on the bottom center of the rectangular prism.

Write and solve an expression for the total volume of the dollhouse.(1 point)
Responses

2,400 in.3
2,400 in. cubed

264 in.3
264 in. cubed

3,120 in.3
3,120 in. cubed

2,640 in.3
2,640 in. cubed

Answer 1

The total volume of the dollhouse would be the sum of the volumes of the rectangular prism and the two triangular prisms.
Volume of rectangular prism = length x width x height = 10 x 8 x 12 = 960 in^3
Volume of one triangular prism = 0.5 x base x height x perpendicular height = 0.5 x 8 x 6 x 8 = 192 in^3
Total volume = 960 + 2(192) = 960 + 384 = 1344 in^3

Therefore, the correct answer is not provided in the options. The correct answer should be 1344 in^3.

Answer 2

pick one of the options please

Answer 3

In that case, the closest option to the correct answer would be:

2,640 in.3