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

Answer:

36 liters

Step-by-step 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

$\frac{1}{6}\ \frac{L}{m^2} =\frac{x}{216}\ \frac{L}{m^2} \\\\x=216/6\\\\x=36\ L$