Math Problem Statement
The volume of this cube is 512 cubic centimeters. What is the value of t?
Solution
To find the value of , we can use the formula for the volume of a cube, which is:
Given that the volume of the cube is 512 cubic centimeters, we can set up the equation:
Now, solve for by taking the cube root of both sides:
Since , we have:
Therefore, the value of is centimeters.
Would you like further details or have any questions?
Here are 5 related questions to consider:
- What is the formula for the surface area of a cube with side length ?
- If the side length was doubled, what would the new volume be?
- How would the volume change if was halved?
- What is the cube root of 729? How does it relate to finding the side length of a cube with volume 729?
- Can you express the volume formula for a rectangular prism instead of a cube?
Tip: To solve cube volume problems, always remember to take the cube root to find the side length.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of a Cube
Algebra
Formulas
V = t^3
t = \sqrt[3]{V}
Theorems
Cube Root Theorem
Suitable Grade Level
Grades 6-8