Q43. - Algebra 1

Question

Which expression best represents the volume of the cube?

 

1. The product of three and five
2. Three to the fifth power
3. Three squared
4. Three cubed

Step-by-Step Solution

Answer

The expression that best represents the volume of the cube is “D three cubed”.

Step 1. Define the volume of a cube.

The volume of a cube is the product of its length, breadth, and height.

Step 2. Observe the figure.

As shown in the figure,

the length, breadth, and height of the cube are all equal and it is 3 units each.

Step 3. State the conclusion.

Since, $v=l\times b\times h$, where $l$ is the length, $b$ is the breadth and $h$ is the height and we know $l=b=h=3$, therefore, $v=3^3$ volume of cube is three raised to power three.

 

Therefore, the expression that represents the volume of the cube is three cubed, which is option D.