A box is shaped like a cube. The box has a length of 1 foot, a width of 1 foot, and a height of 1 foot. What is the volume of the box?
Understand the Problem
The question asks for the volume of a cube-shaped box with given dimensions (length, width, and height of 1 foot each). To find the volume, we will use the formula for the volume of a cube, which is side^3 (or length × width × height).
Answer
The volume of the box is $1$ cubic foot.
Answer for screen readers
The volume of the box is $1$ cubic foot.
Steps to Solve
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Identify the formula for the volume of a cube To find the volume of a cube, we can use the formula: $$ V = s^3 $$ where ( s ) is the length of a side of the cube.
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Substitute the side length into the formula Given that the length, width, and height of the cube are all 1 foot, we substitute ( s = 1 ): $$ V = 1^3 $$
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Calculate the volume Now, perform the calculation: $$ V = 1^3 = 1 $$
Thus, the volume of the box is 1 cubic foot.
The volume of the box is $1$ cubic foot.
More Information
A cube is a three-dimensional shape where all sides are of equal length. In this case, with each side measuring 1 foot, the volume is simply the side length raised to the third power.
Tips
- Confusing the volume of a cube with that of a rectangular prism; remember that all sides of a cube are equal.
- Neglecting to use the correct formula; ensure you're using ( V = s^3 ) for cubes.
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