Question

Jenna has two fish tanks in the shape of rectangular prisms. Each of the sides of the second fish tank is 5 times greater than the sides of the first fish tank. If Jenna fills both the fish tanks completely with water, the volume of water in the second fish tank will be

125 times the volume of water in the first fish tank

10 times the volume of water in the first fish tank

25 times the volume of water in the first fish tank

5 times the volume of water in the first fish tank

Answer 1

each dimension of the second tank is 5 times greater

so the second tank will a volume that's 5*5*5 = 5^3 = 125 times greater than the first one

Answer 2

general rule

if each dimension of a solid is k times greater than other solid, then its volume will be k^3 times greater