Question

The volume of a cube is 125m3 if I L of a paint covers 6m2, how many liters of paint are needed to paint the outside of the cube

Answer 1

36 liters

Explanation:

step 1

Find the length side of the cube

we know that

The volume of the cube is given by

`V=b^3`

we have

`V=125\ m^3`

substitute

`125=b^3`

solve for b

`b=5\ m`

step 2

Find the surface area of the cube

The surface area of a cube is equal to

`SA=6b^2`

substitute the value of b

`SA=6(6)^2=216\ m^2`

step 3

Find out how many liters of paint are needed to paint the outside of the cube

we know that

1 L of a paint covers 6m2

so using proportion

`(1)/(6)\ (L)/(m^2) =(x)/(216)\ (L)/(m^2) \\\\x=216/6\\\\x=36\ L`