Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. find the length of the sides of the cube given the volume is 1815.8 …

Question

  1. find the length of the sides of the cube given the volume is 1815.8 mm³. round to one decimal place. we know

Explanation:

Step1: Recall volume formula for cube

The volume formula of a cube is $V = s^{3}$, where $V$ is the volume and $s$ is the side - length.

Step2: Solve for side - length

We know $V = 1815.8\ mm^{3}$, so $s=\sqrt[3]{V}=\sqrt[3]{1815.8}$.
Using a calculator, $\sqrt[3]{1815.8}\approx12.2\ mm$.

Answer:

$12.2\ mm$