What is the volume of a cube that has a side length of 5 centimeters? Recall the formula [tex]V=s^3[/tex].
Answer (2)
Identify the side length of the cube: s = 5 cm.
Apply the formula for the volume of a cube: V = s 3 .
Calculate the volume: V = 5 3 = 125 .
State the final answer: The volume of the cube is 125 cm 3 .
Explanation
Problem Analysis We are given a cube with a side length of 5 centimeters. Our goal is to find the volume of this cube. We know that the formula for the volume of a cube is V = s 3 , where s is the side length of the cube.
Substitute the side length Now, we substitute the given side length, s = 5 cm, into the formula: V = s 3 = 5 3
Calculate the volume Calculating the cube of 5, we get: V = 5 × 5 × 5 = 25 × 5 = 125
State the final answer Therefore, the volume of the cube is 125 cubic centimeters.
Examples
Imagine you're building a cubic storage box for your toys. If each side of the box measures 50 cm, you can calculate the total space inside the box by finding its volume. Using the formula V = s 3 , where s is the side length, you find that the volume is 5 0 3 = 125 , 000 cubic centimeters. This tells you how much storage space you have in the box, helping you decide if it's big enough for all your toys.
The volume of a cube with a side length of 5 centimeters is calculated using the formula V = s 3 . Substituting the side length into the formula gives V = 5 3 = 125 cm 3 . Thus, the volume of the cube is 125 cubic centimeters.
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