Question

to find the amount of space a cube-shaped bird cage occupies, find the cube of the measure of one edge (which is 18 units). express the amount as a power then find the amount in cubic units.

Answer 1

The volume of a cube-shaped bird cage with an edge length of 18 units is calculated as the cube of its edge length, resulting in 5832 cubic units.

Step-by-step explanation:

To find the amount of space a cube-shaped bird cage occupies, or its volume, you need to calculate the cube of the measure of one of its edges. Given that the edge length (s) is 18 units, you express the volume in terms of a power as s³, which is 18³. So, the volume in cubic units is 18 * 18 * 18 = 5832 cubic units.

The volume of a cube can be determined using the formula V = s³, where V is volume and s is the length of one side. We can use units to check our answer, as units of volume are represented in cubic units. Hence, for a cube with an edge length of 18 units, the volume would be in cubic units, not square units, as square units represent area, not volume.

Answer 2

To find the amount of space the cage occupies, you need to find the volume of the page. To do this, multiply the edge length (18 units) by itself three times.
Volume = 18 x 18 x 18 = 5832
So, the volume of the cage is 5832 units.
Note: Multiplying 18 by itself three times is the same thing as "cubing" the number.
18^3 = 5832

Hope that helps!!