To calculate the total volume of the dollhouse, we need to find the volume of the rectangular prism and the volume of the two triangular prisms.
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 10 inches x 10 inches x 12 inches
Volume of rectangular prism = 1,200 cubic inches
Volume of each triangular prism = 1/2 x base x perpendicular height x height
Volume of each triangular prism = 1/2 x 8 inches x 6 inches x 8 inches
Volume of each triangular prism = 192 cubic inches
Total volume of the dollhouse = volume of rectangular prism + 2 x volume of each triangular prism
Total volume of the dollhouse = 1,200 cubic inches + 2 x 192 cubic inches
Total volume of the dollhouse = 1,200 cubic inches + 384 cubic inches
Total volume of the dollhouse = 1,584 cubic inches
So, the total volume of the dollhouse is 1,584 cubic inches.
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
2,640 in.3
2,640 in. cubed
2,400 in.3
2,400 in. cubed
3,120 in.3
3,120 in. cubed
264 in.3
264 in. cubed
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3 answers
wrong, choose from the asnwers below
Apologies for the error. The correct answer is:
2,640 in.3
2,640 in. cubed
2,640 in.3
2,640 in. cubed
3 answers