Question

Write a word problem whose solution involves taking a cube root. State the problem and solve it, showing and explaining all steps.

Answer 1

Hi there.

The surface area of a cube is 384 cm². Find the length of one edge of the cube.

Cube root 384 cm and you'll get 8 (rounded to the ones place).

Feel free to expand on this word problem - it's terribly simple!

Hope this helped!

Answer 2

Given a sphere with volume 729
`cm^(2)`. Find the radius of the sphere?

Explanation:

We are given that the volume of a sphere is 729
`cm^(2)`.

It is required to find the radius.

Now,

The volume of sphere =
`(4 \pi * r^(3))/(3)`.

i.e. 729 =
`(4 \pi * r^(3))/(3)`.

i.e.
`r^(3) =(3V)/(4\pi )`

i.e.
`r^(3) =(3 * 729)/(4\pi )`

i.e.
`r^(3) =(2187)/(4\pi )`

i.e.
`r^(3) =(546.75)/(\pi )`

i.e.
`r^(3) =174.04`

i.e.
`r=5.58` ( Taking cube root ).

So, after taking cube root the radius of the sphere with radius 729
`cm^(2)` is 5.58 cm.