What is the volume in cubic feet of a hole shaped like a cube with dimensions of 1 yard by 1 yard by 1 yard?

What is the volume in cubic feet of a hole shaped like a cube with dimensions of 1 yard by 1 yard by 1 yard?

• A. 1 cubic foot
• B. 8 cubic feet
• C. 27 cubic feet
• D. 32 cubic feet

Answer: (C)

To find the volume of a hole shaped like a cube with dimensions of 1 yard by 1 yard by 1 yard, it is essential first to convert yards to feet. Since 1 yard is equal to 3 feet, the dimensions of the cube in feet are: - Length: 1 yard = 3 feet - Width: 1 yard = 3 feet - Height: 1 yard = 3 feet Next, the volume of a cube is calculated using the formula: Volume = length × width × height. Substituting the converted dimensions into this formula gives: Volume = 3 feet × 3 feet × 3 feet = 27 cubic feet. This means that the volume of the hole, shaped like a cube with the given dimensions, is 27 cubic feet. Therefore, the correct answer reflects this calculation accurately.

To find the volume of a hole shaped like a cube with dimensions of 1 yard by 1 yard by 1 yard, it is essential first to convert yards to feet. Since 1 yard is equal to 3 feet, the dimensions of the cube in feet are:

• Length: 1 yard = 3 feet

• Width: 1 yard = 3 feet

• Height: 1 yard = 3 feet

Next, the volume of a cube is calculated using the formula:

Volume = length × width × height.

Substituting the converted dimensions into this formula gives:

Volume = 3 feet × 3 feet × 3 feet = 27 cubic feet.

This means that the volume of the hole, shaped like a cube with the given dimensions, is 27 cubic feet. Therefore, the correct answer reflects this calculation accurately.