Question

A cube has a surface area of 100 square inches. Which choice is closest to the length of an edge of the cube?

Answer 1

Simple.....

you have: Surface Area of a cube is 100
`in^(2)`

We know that the formula for Surface Area is SA=6
`a^(2)`

1.)

SA=6
`(1.7) ^(2)`

SA=17.34

2.)

SA=6
`(3.3) ^(2)`

SA=65.34

3.)

SA=6
`(4.1) ^(2)`

SA=100.86 (Answer)

4.)

SA=6
`(10) ^(2)`

SA=600

Thus, your answer.

Answer 2

surface area is the area of a face and add all faces areas up cubes have square faces
since it is a cube the areas of the face are the same and there are 6 faces so 100/6= 16.67
the area of a square is l times w and l and w are same since it is a square do the square root of 16.67 and the only answer that has the square root of 16 is 4.1