Question

what is the side length of a cube that can be made with 294 cm^2 of cardboard? What assumption have you made

Answer 1

Consider the surface area of the cube is 294 square cm.

Let a be the side length of the cube.

The formula for the surface area of the cube is

`A=6a^2`

Substitute A=294, we get

`294=6a^2`

Dividing both sides by 6, we get

`(294)/(6)=(6a^2)/(6)`
`49=a^2`
`7^2=a^2`
`a=7cm`

Hence the side length of the cube is 7cm.