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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total volume of the dollhouse, we need to find the volume of the rectangular prism and the volume of the two triangular prisms on top and then add them together.

Volume of rectangular prism = width x height x length
Volume of rectangular prism = 10 inches x 12 inches x 8 inches = 960 cubic inches

Volume of one triangular prism = (1/2) x base length x height x width
Volume of one triangular prism = (1/2) x 8 inches x 6 inches x 8 inches = 192 cubic inches

Total volume of both triangular prisms = 192 cubic inches x 2 = 384 cubic inches

Total volume of the dollhouse = Volume of rectangular prism + Total volume of both triangular prisms
Total volume of the dollhouse = 960 cubic inches + 384 cubic inches = 1344 cubic inches

Therefore, the total volume of the dollhouse is 1344 cubic inches.