Question

The surface area of one cube is four times the surface area of a second cube. An edge of the smaller cube has length 1. Find the volume of the larger cube.

Answer 1

Answer:

Volume = 8 unit ³

Step-by-step explanation:

Area ratio or factor = 1/4

Therefore length or scale factor  = square root of 1/4

Length factor = 1/2

If length of smaller cube is 1

Therefore length of bigger cube = 1 ×2/1

Length = 2 unit

Volume of bigger cube = l³

Volume = 2³

Volume = 8 unit ³

Or

you can use this other method below

Area ratio or factor = 1/4

Therefore length or scale factor  = square root of 1/4

Length factor = 1/2

To find volume factor we would find the cube of length factor.

Volume factor = (1/2)³ = 1/8

Therefore volume of bigger one will be 8 unit ³

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