Question

If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)

a
143

b
314

c
14 ⋅ 3d.

d
14 ⋅ 14 ⋅ 14

Answer 1

a) 14³

Step-by-step explanation:

Cubes are 3-D shapes that have all equal side lengths.

Volume

Volume describes the amount of space that a shape takes up. Specifically, volume relates to 3-dimensional shapes, such as cubes. Remember that 3-D shapes that exist within the real world and have depth.

The volume of cubes and rectangular prisms is
`l*w*h`. In this expression, l is the length, w is the width, and h is the height. However, since cubes have equal lengths, widths, and height, volume can be rewritten as
`l*l*l`.

Exponents

Exponents are ways to represent repeated multiplication. For example, 2*2*2*2 can be written as 2⁴. In this expression 2 is being multiplied by itself 4 times, so we can write 2 with the exponent 4 to represent this.

If we plug the cube's side length into the expression above, we get 14*14*14. In this expression, 14 is being multiplied by itself 3 times. So, this can be rewritten as 14³. This is said as "fourteen to the third power" or "fourteen cubed."