Question

The zoo is building a new tank for some of its fish. The tank will be a cube able to hold 3,375 cubic feet of water. Which equation could you use to find the length of each side of the tank.

Answer 1

Answer:

$s = \sqrt[3]{V}$

Length of each side of the tank = 15 ft

Step-by-step explanation:

A cube has equal length sides.

Formula for the volume of a cube is given as $V = s^3$, where,

s = side length of the cube.

Given that a tank, in the shape of a cube, holds 3,375 ft³ of water, to derive an equation for finding the length of each side of the tank, make "s" the subject of the formula as follows:

$V = s^3$

Take the cube root of both sides

$\sqrt[3]{V} = \sqrt[3]{s^3}$

$\sqrt[3]{V} = s$

$s = \sqrt[3]{V}$

The above equation would be used to find the length of each side of the tank as follows:

$s = \sqrt[3]{3,375}$ (substitution)

$s = \sqrt[3]{3,375}$

$s = 15$

Length of each side of the tank = 15 ft

Answer 2

Answer:

3,375=s3

15 feet long

Step-by-step explanation: