Math Problem Statement

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V = s^3, where s is the length of one side of the cube. If s = 0.5 centimeter, what is the volume of the cube?

Solution

The problem in the image asks to find the volume of a cube with side length s=0.5s = 0.5 centimeters. The formula for the volume of a cube is:

V=s3V = s^3

Substituting s=0.5s = 0.5:

V=(0.5)3=0.5×0.5×0.5=0.125cubic centimetersV = (0.5)^3 = 0.5 \times 0.5 \times 0.5 = 0.125 \, \text{cubic centimeters}

So, the volume of the cube is 0.125 cubic centimeters.

Would you like further details on this or have any other questions?

Here are five related questions to expand on this concept:

  1. What is the volume of a cube with side length 1cm1 \, \text{cm}?
  2. How would the volume change if the side length was doubled?
  3. Can you express the volume of a cube in terms of its surface area?
  4. What happens to the volume if you increase the side length by a factor of 3?
  5. How does the volume of a cube compare to the volume of a rectangular prism with the same side lengths?

Tip: The volume of a cube increases dramatically as the side length increases, since the formula involves cubing the side length.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume Calculation
Cubic Units

Formulas

Volume of a cube: V = s^3

Theorems

Properties of cubic measurement

Suitable Grade Level

Grades 5-7