If you have a cube that has a surface area of 54 square inches, what is the volume?

Question

mathmale · Answer

All sides of your cube have the same length.  You need to find a formula for the surface area of a cube of side length s.  Google this if necessary.

The surface area is given.  Use the formula you've just found to calculate the side length. 

Last, use this side length to calculate the volume of the cube.

rebeccaxhawaii · Answer

The formula for SA of a cube is 6a^2 

Therefore divide 6 first (from 54)

mrdoodbromanguy · Answer

54 divided by 6 is 9

rebeccaxhawaii · Answer

Okay then now square 9

_x_=9

mrdoodbromanguy · Answer

i cant remember what squaring means

rebeccaxhawaii · Answer

$$\sqrt{9}$$

mathmale · Answer

to "square" a number means to multiply it by itself.  To square 8 means to multiply 8 by 8.

mathmale · Answer

"square root" goes in the opposite direction.  Suppose I give you a number such as 25 and ask you which number, when multiplied by itself, gives you 25.

mrdoodbromanguy · Answer

the square root of nine is 3

legomyego180 · Answer

Correct so 3 is equal to your length.
Recall the volume of a cube is equal to $$length^3$$

mrdoodbromanguy · Answer

so 3x3 is the length?

rebeccaxhawaii · Answer

Thanks for the correction @mathmale

rebeccaxhawaii · Answer

But yes 3 would be your length.

mrdoodbromanguy · Answer

so what step comes after that?

legomyego180 · Answer

plug into the formula for volume of a cube.
Volume = length^3

mrdoodbromanguy · Answer

the volume is 27?

rebeccaxhawaii · Answer

Correct.

mrdoodbromanguy · Answer

tx every body