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 the rectangular prism = length x width x height
Volume = 10 inches x 8 inches x 12 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
Volume of both triangular prisms = 192 cubic inches + 192 cubic inches = 384 cubic inches
Total volume of the dollhouse = rectangular prism volume + triangular prism volume
Total volume = 960 cubic inches + 384 cubic inches = 1,344 cubic inches
Therefore, the total volume of the dollhouse is 1,344 cubic inches.
The closest answer choice is:
D). 1,344 in.3
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
A). 264 in.3
264 in. cubed
B). 2,400 in.3
2,400 in. cubed
C). 3,120 in.3
3,120 in. cubed
D). 2,640 in.3
1 answer