SOLUTION: cuba a has an edge length of 2 inches. cube b has an edge length double that of cube a. what is the volume, in cubic inches, of cube b?
a.4
b.8
c.16
d.32
e.64
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-> SOLUTION: cuba a has an edge length of 2 inches. cube b has an edge length double that of cube a. what is the volume, in cubic inches, of cube b?
a.4
b.8
c.16
d.32
e.64
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Question 549897: cuba a has an edge length of 2 inches. cube b has an edge length double that of cube a. what is the volume, in cubic inches, of cube b?
a.4
b.8
c.16
d.32
e.64 Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website! If you have two similar solids, one a larger version of the other, and the ratio of the corresponding lengths is , the ratio of corresponding areas is , and the ratio of corresponding volumes is .
So the answer is .
This is how the large cube would look if you made it out of the smaller cubes.
You would have 8 small cubes: two layers of 4 cubes, one on top of the other,
Each edge of the large cube is 2 times as long as the edge of a small cube.
Each face of the large cube has 4 times the area of the face of a small cube.
The large cube has 8 times the volume of a small cube.
