Use the image to answer the question.
The angles are 6 in, 2 in, 6 in, 8 in, 8 in, 10 in, and 12 in.
Write and solve an expression for the total volume of the dollhouse.
A. 2,400 in.^3
B. 264 in.^3
C. 2,640 in.^3
D. 3,120 in.^3
To find the volume of the dollhouse, we need to find the volume of each individual shape and then add them all together.
The shape with sides 6 in, 2 in, and 6 in is a rectangular prism with a volume of 6 x 2 x 6 = 72 in^3.
The shape with sides 8 in, 8 in, and 10 in is also a rectangular prism with a volume of 8 x 8 x 10 = 640 in^3.
The shape with sides 6 in, 8 in, and 12 in is another rectangular prism with a volume of 6 x 8 x 12 = 576 in^3.
Adding all these volumes together:
72 in^3 + 640 in^3 + 576 in^3 = 1288 in^3
So, the total volume of the dollhouse is 1,288 in^3
Therefore, the correct answer is not listed.