Suppose each edge of a cube is 7.8 cm long. which is the best estimate for the volume of the cube? a) 384 cm3 b) 408 cm3 c) 512 cm3 d) 562 cm3

Given

each edge of a cube is 7.8 cm

Find out the best estimate for the volume of a cube.

To proof

As given in the question

each edge of a cube is 7.8 cm long

Let us assume the rounded up value of the edge of a cube.

Take  each edge of a cube is 8cm

FORMULA

Volume of cube =  a³

where a represent the length of one edge.

a = 8 cm

put this in the above formula

we get

Volume of cube =  8× 8× 8

                          = 512 cm³

Therefore the estimate for the volume of the cube is 512 cm³

option (c) is correct

Hence proved