To find the total volume of the dollhouse, we need to calculate the volume of the rectangular prism and the two triangular prisms separately and then add them together.
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 10 in x 10 in x 12 in = 1200 in^3
Volume of each triangular prism = (base x height) / 2
Volume of each triangular prism = (8 in x 6 in) / 2 = 24 in^3
Volume of both triangular prisms = 24 in^3 x 2 = 48 in^3
Total volume of the dollhouse = Volume of rectangular prism + Volume of both triangular prisms
Total volume of the dollhouse = 1200 in^3 + 48 in^3 = 1248 in^3
Therefore, the total volume of the dollhouse is 1248 in^3, which is not among the given options.
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
264 in.3
264 in. cubed
3,120 in.3
3,120 in. cubed
2,640 in.3
2,640 in. cubed
2,400 in.3
1 answer
3 answers