To find the total volume of the dollhouse, we need to calculate the volume of the rectangular prism and the volume of the two triangular prisms and then add them together.
Volume of rectangular prism = length x width x height
Volume = 10 x 8 x 12 = 960 in³
Volume of one triangular prism = (1/2) x base x height x width
Volume = (1/2) x 8 x 6 x 10 = 240 in³
Volume of two triangular prisms = 240 in³ x 2 = 480 in³
Total volume = 960 in³ + 480 in³ = 1440 in³
Therefore, the total volume of the dollhouse is 1440 in³.
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
3,120 in.3
3,120 in. cubed
264 in.3
264 in. cubed
2,640 in.3
2,640 in. cubed
2,400 in.3
2,400 in. cubed
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