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### Course: Get ready for Algebra 1>Unit 6

Lesson 1: Equations with square roots & cube roots

# Dimensions of a cube from its volume

When we know the volume of a cube, we can use the cube root of the volume to find the length of each side. We'll need to factor the volume and find 3 equal groups of factors. The value of one group is the length of one side of the cube.

## Want to join the conversation?

• Is there an easier, simpler, way of explaining it?
• honestly, memorize your squares and cubes for 1-12, those are what you'll mostly see, you can use a calculator for higher up ones, this is probably the most simple way, but theres other ways explaining this, try looking on youtube
• What is 5 cubic ft to inches
• It does not make sense to convert from cubic ft to inches, because cubic ft is a unit of volume and inches is a unit of length.

So I'll assume you meant to ask "what is 5 cubic ft to cubic inches". There are 12^3 = 1,728 cubic inches in a cubic ft (a cubic ft can be visualized as a 12 by 12 by 12 array of cubic inches, so this is why there are 1,728 instead of just 12 cubic inches in a cubic ft).

Therefore, 5 cubic ft is 5*1,728 = 8,640 cubic inches.

Have a blessed, wonderful day!
• it's getting easier :)
• yeah! :D
(1 vote)
• I’m not entirely sure what you mean.

If the volume you’re given isn’t a perfect cube, you can use a calculator to find the cube root of the volume to find each side length. You could also factor and simplify to get an exact answer for the cube root.

Does that help? If not, I’ll try to fix my answer.
• what is 3000 to the power of 1000000? the Calculator won't answer me
• You just need to imagine a million 3000s being multiplied together. My last message: Why did you do this?
• A way to remember is that square is 2d so and a cube is 3d
• Good point yung'un!
• Didn't Sal already use 512 in “Worked example: Cube root of a negative number” So wouldn’t we already know the answer?
• I believe so, I just saw that video before this one.