contestada

A cube with side length m has a volume of 343 cubic centimeters. The following equation shows the volume of the cube.
m^3 = 343m
​
What is the side length of the cube in centimeters?

Respuesta :

Answer:

7 cm

Step-by-step explanation:

Given : A cube with side length m has a volume of 343 cubic centimeters.

To Find: What is the side length of the cube in centimeters?

Solution:

Volume of cube = [tex]Side^3[/tex]

The side of the cube is m

So, Volume of cube of m = [tex]m^3[/tex]

Since the volume of cube is 343 cubic centimeters

So,[tex]m^3=343[/tex]

[tex]m=\sqrt[3]{343}[/tex]

[tex]m=7[/tex]

Hence the length of the cube is 7 cm.

Lanuel

The side length of the cube in centimeters is equal to 7.

Given the following data:

  • Volume of cube = 343 cubic centimeters.

To calculate the side length of the cube in centimeters:

How to calculate the volume of a cube.

Mathematically, the volume of a cube is given by the following formula:

[tex]Volume = m^3[/tex]

Where:

  • m is the length of sides of the cube.

Substituting the given parameters into the formula, we have;

[tex]343 = m^3\\\\[/tex]

Taking the cubic root of both sides, we have:

[tex]m=\sqrt[3]{343}[/tex]

m = 7 centimeters.

Read more on volume of a cube here: https://brainly.com/question/25248189

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