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

Answer:

Given a sphere with volume 729 $cm^{2}$. Find the radius of the sphere?

Step-by-step 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 = $\frac{4 \pi \times r^{3}}{3}$.

i.e. 729 = $\frac{4 \pi \times r^{3}}{3}$.

i.e. $r^{3} =\frac{3V}{4\pi }$

i.e. $r^{3} =\frac{3 \times 729}{4\pi }$

i.e. $r^{3} =\frac{2187}{4\pi }$

i.e. $r^{3} =\frac{546.75}{\pi }$

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.