Question

Find the area ratio of a cube with volume 125 m3 to a cube with volume 64 m3.

Answer 1

To find the area ratio, we need to first find the side lengths of the two cubes.

For the cube with volume 125 m^3:
Volume of a cube = side length^3
125 = s^3
s = 5 m

For the cube with volume 64 m^3:
64 = s^3
s = 4 m

Now, we can find the total surface area of each cube:
Total surface area of a cube = 6s^2

For the cube with side length 5 m:
Total surface area = 6(5^2) = 150 m^2

For the cube with side length 4 m:
Total surface area = 6(4^2) = 96 m^2

Now, we can find the area ratio:
Area ratio = Total surface area of cube with volume 125 m^3 / Total surface area of cube with volume 64 m^3
Area ratio = 150 / 96
Area ratio = 1.5625

Therefore, the area ratio of a cube with volume 125 m^3 to a cube with volume 64 m^3 is 1.5625.