Question

The formula s=SA/6 gives the length of the side s, of a cube with a surface area SA. With a surface area of 240 square meters than a cube with the surface area of 180 square meters?

Answer 1

0.84 m

The side of the cube with the surface area of 240 square meters is 0.84 meters longer than the cube with the surface area of 180 square meters.

Explanation:

The correct question must be:

The formula
`s=\sqrt{(SA)/(6)}` gives the length of the side, s, of a cube with the surface area, SA. How much longer is the side of the cube with a surface area of 240 square meters than a cube with the surface area of 180 square meters ?

Given formula to calculate side of a cube:

`s=\sqrt{(SA)/(6)}`

where
`s`is the side of the cube and
`SA` is the surface area of the cube.

For a cube with surface area of 240 square meters, the side can be calculated as:

`s=\sqrt{(240)/(6)}`

`s=6.32\ m`

For a cube with surface area of 180 square meters, the side can be calculated as:

`s=\sqrt{(180)/(6)}`

`s=5.48\ m`

The difference in the sides of the cubes is =
`6.32\ m-5.48\ m=0.84\ m`

Thus, the side of the cube with the surface area of 240 square meters is 0.84 meters longer than the cube with the surface area of 180 square meters.