104k views
5 votes
Describe how to construct a cube that could be used to determine the cube root 729.

User Revircs
by
8.2k points

1 Answer

0 votes

Solution:

We can construct a cube with the given volume:


V=729in^3

now, to build it we must know the length of each side of the faces of the cube. Let us denote by z this length. According to the above equation, we get:


V=729in^3=z\mathrm{}z\mathrm{}z=z^3

This is equivalent to saying:


z^3=729

to find the length of the side z, so we can construct the cube with volume 729, we must apply cube root to the previous equation:


z^{}=\sqrt[3]{729}\text{ = 9}

then


z\text{ = 9}

so we can construct a cube such that each of its sides has a length of z=9 = the cube root of 729.

User Projecktzero
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.