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The volume of the cubic box is 10 exponent 6 cubic millimeters. How long is each side of the box (Hint:Length,width,and height are all equal.)

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Answer:

One side is 100 millimeters long

Step-by-step explanation:

Volume for a cube of side s is [tex]V = s^3[/tex]. We are given that [tex]V = 10^6[/tex] from which we can deduce: [tex]V = 10^6=(10^2)^3\implies s=10^2=100[/tex]

Answer:

100 millimeters.

Step-by-step explanation:

Let x represent each side of box.

We have been given that the volume of the cubic box is [tex]10^6[/tex] cubic millimeters. We are asked to find the length of each side of the box.

We know that each side of cube has equal measure and volume of a cube is cube of each side.

We can represent this information in an equation as:

[tex]x^3=10^6[/tex]

[tex]x^3=1,000,000[/tex]

Upon taking cube root of both sides, we will get:

[tex]\sqrt[3]{x^3} =\sqrt[3]{1,000,000}[/tex]

[tex]x=100[/tex]

Therefore, each side of box is 100 millimeters long.

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