Math Problem Statement
The volume of a cube is v cubic yards, and its surface area is a square feet. If v=a, what is the length in inches of each edge
Solution
To find the length of each edge of a cube when its volume is given as cubic yards and its surface area is given as square feet, we can follow these steps:
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Volume to Edge Length Calculation: Since the volume of a cube is given by: where is the edge length in yards. Therefore:
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Convert Edge Length to Inches: There are 36 inches in a yard. Therefore, the edge length in inches is:
Thus, the length of each edge of the cube in inches is inches.
Would you like further details or have any questions about this solution? Here are 5 related questions you might find interesting:
- How do you convert between cubic yards and cubic feet?
- What is the formula for the surface area of a cube?
- How do you convert square feet to square yards?
- If the volume of a cube is given in cubic meters, how would you convert it to cubic inches?
- What are some real-life applications of calculating the volume and surface area of cubes?
Tip: Always remember to convert units properly when working with volumes and surface areas to ensure accuracy in your calculations.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume
Surface Area
Unit Conversion
Formulas
Volume of a cube: V = s^3
Surface area of a cube: A = 6s^2
Theorems
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Suitable Grade Level
High School
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