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3. The length of one side of a cube is 1 yd. What is its volume in cubic feet?

Sagot :

To determine the volume of a cube where the side length is given in yards, we need to follow these steps:

1. Convert the side length from yards to feet:
- We know that 1 yard is equivalent to 3 feet.
- Given the side length of the cube is 1 yard, we convert this to feet:
[tex]\[ \text{Side length} = 1 \text{ yard} \times 3 \text{ feet per yard} = 3 \text{ feet} \][/tex]

2. Calculate the volume of the cube:
- The volume [tex]\( V \)[/tex] of a cube is found using the formula:
[tex]\[ V = \text{side length}^3 \][/tex]
- Substituting the side length we have in feet:
[tex]\[ V = 3 \text{ feet} \times 3 \text{ feet} \times 3 \text{ feet} = 27 \text{ cubic feet} \][/tex]

Therefore, the side length of the cube in feet is 3 feet, and the volume of the cube is 27 cubic feet.