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Question Video: Using a Given Algebraic Expression to Find the Volume of a Cube Mathematics

The amount of wax this candle mold can hold is measured in cubic units. Find how much wax it can hold by using the expression 𝑠 × 𝑠 × 𝑠, where 𝑠 is the length of a side.

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Video Transcript

The amount of wax this candle mold can hold is measured in cubic units. Find how much wax it can hold by using the expression 𝑠 multiplied by 𝑠 multiplied by 𝑠, where 𝑠 is the length of a side.

We know that the volume of any 3D shape is measured in cubic units. And the volume of a cube is equal to the side length multiplied by the side length multiplied by the side length. This can also be written 𝑠 cubed. In this question, we are told that the mold has a side length of 14 units. Therefore, its volume will be equal to 14 multiplied by 14 multiplied by 14. We can begin by multiplying 14 by 14. We know that 14 multiplied by 10 is 140, and 14 multiplied by four is 56. This means that 14 multiplied by 14 or 14 squared is equal to 196.

There are lots of ways we could multiply this by 14. One way would be to multiply 200 by 14 first. This is equal to 2,800 as two multiplied by 14 is 28. We already know that four multiplied by 14 is equal to 56. We can then subtract these so that 196 multiplied by 14 is equal to 2,744. We can therefore conclude that the candle mold can hold 2,744 cubic units of wax.

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