The problem asks to calculate the volume of a cube.
The formula for the volume of a cube is V = s 3 , where s is the side length.
Given the side length s = 3 inches, we calculate the volume as V = 3 3 = 27 cubic inches.
The volume of the cube is 27 cubic inches .
Explanation
Problem Analysis The problem asks us to find the volume of a cube with a given side length. We know the side length is 3 inches.
Volume Formula The volume of a cube is found by multiplying the side length by itself three times. This can be written as: V o l u m e = s i d e × s i d e × s i d e = s i d e 3 In our case, the side length is 3 inches, so we have: V o l u m e = 3 inches × 3 inches × 3 inches
Calculation Now, we calculate the volume: V o l u m e = 3 × 3 × 3 = 27 The units are inches \times inches \times inches, which gives us cubic inches.
Final Answer Therefore, the volume of the cube is 27 cubic inches. The correct answer is 27 cubic inches.
Examples
Cubes are common in everyday life, from sugar cubes to dice. Knowing how to calculate the volume of a cube is useful in many situations. For example, if you're building a cubic storage box, you need to know its volume to determine how much it can hold. If each side of the box is 2 feet long, the volume would be 2 × 2 × 2 = 8 cubic feet. This tells you the amount of space available inside the box.
The volume of a cube with a side length of 3 inches is 27 cubic inches. Therefore, the correct answer is 27 cubic inches.
;