Question

What is the side length of a cube with a volume of 2197 cm3?


@Pawtpie

Answer 1

the cube root of 2197 is the answer

Answer 2

Okay so now we need the cube root of that large number of 2197

Answer 3

^

Answer 4

Try a random number like 18 cubed first

Answer 5

18*18*18

Answer 6

correct

Answer 7

5832

Answer 8

Ok that's way too high then, what about 14

Answer 9

cubed

Answer 10

2744

Answer 11

Oh close, 13?

Answer 12

I'm sure there's a better way to solve these

Answer 13

2197

Answer 14

use a calculator

Answer 15

next right

Answer 16

Here is the formula to find the volume of a cube

\(\rm s^3~=~V\)

Well, we know the Volume (V) = 2197
So plug in the value given

\(\rm s^3~=~2197\)

Do you know how to solve this?

Answer 17

s = side

Answer 18

@Pawtpie

Answer 19

Well,

\(\rm s^3~=~2197\) \(\rightarrow\) \(\rm s~=~2197^{(\dfrac{1}{3})}\)

Answer 20

13

Answer 21

Correct =) So

\(\rm 13^3~=~2197\) \(\rightarrow\) \(\rm 13\times13\times13~=~2197\) \(\rightarrow\) \(\rm 2197~=~2197\)