Use the image to answer the question.

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

264 in.3
264 in. cubed

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

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

2,640 in.3
2,640 in. cubed
Skip to navigation

Answer 1

The total volume of the dollhouse can be calculated by finding the volume of the rectangular prism and adding the volume of both triangular prisms.

Volume of rectangular prism = length x width x height = 8 x 10 x 12 = 960 in^3
Volume of one triangular prism = 1/2 x base x height x perpendicular height = 1/2 x 8 x 6 x 8 = 192 in^3
Volume of both triangular prisms = 192 x 2 = 384 in^3

Total volume of the dollhouse = volume of rectangular prism + volume of both triangular prisms
Total volume = 960 + 384 = 1344 in^3

Therefore, the correct answer is not provided in the options given. The correct total volume of the dollhouse is 1344 in^3.

Answer 2

just choose one

Answer 3

The closest option to the correct total volume of the dollhouse is:

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