Volume of Composite 3D Figures Quick Check
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Question
Use the image to answer the question.
Write and solve an expression for the total volume of the dollhouse.(1 point)
Responses
2,400 in.3
2,400 in. cubed
2,640 in.3
2,640 in. cubed
264 in.3
264 in. cubed
3,120 in.3
3,120 in. cubed
To find the total volume of the dollhouse, we need to add the volumes of all the individual shapes together.
Volume of the rectangular prism (dollhouse base):
Length = 12 in, width = 4 in, height = 8 in
Volume = length x width x height = 12 in x 4 in x 8 in = 384 in^3
Volume of the triangular prism (dollhouse top):
Base length = 4 in, base width = 40 in, height = 4 in
Volume = 0.5 x base length x base width x height = 0.5 x 4 in x 40 in x 4 in = 320 in^3
Total volume of the dollhouse:
384 in^3 (rectangle) + 320 in^3 (triangle) = 704 in^3
Therefore, the correct answer is not listed as an option. The closest answer would be 2,640 in^3, which is not correct.