The figure is2 cm 6 cm 6cm 10 cm and 12 cm 8 cm 8 cm Write and solve an expression for the total volume of the dollhouse.(1 point)

264 in.3
264 in. cubed

2,640 in.3
2,640 in. cubed

3,120 in.3
3,120 in. cubed

2,400 in.3

1 answer

First, calculate the volume of the larger rectangular prism with dimensions 12 cm, 10 cm, and 8 cm.

Volume = length x width x height
Volume = 12 cm x 10 cm x 8 cm
Volume = 960 cm^3

Next, calculate the volume of the smaller rectangular prism with dimensions 6 cm, 6 cm, and 2 cm.

Volume = length x width x height
Volume = 6 cm x 6 cm x 2 cm
Volume = 72 cm^3

Add the volumes of the two rectangular prisms together to get the total volume of the dollhouse.

Total Volume = 960 cm^3 + 72 cm^3
Total Volume = 1,032 cm^3

Therefore, the correct answer is 1,032 cm^3.
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