Inspiring Cube Volume Calculation
How can we calculate the length of an edge of a cooler in the shape of a cube with a volume of 9261 in.³?
What is the formula to determine the edge length based on the volume? What is the final answer?
Calculation of Edge Length:
To find the length of an edge of a cube when given the volume, we use the formula V = s³, where V is the volume and s is the length of one of its edges. In this case, the volume of the cooler is 9261 in.³.
By taking the cube root of the volume, we can determine the edge length:
Edge length (s) = ∛9261 in³ = 21 in (rounded to nearest whole number)
Final Answer:
The length of an edge of a cooler that has a volume of 9261 in.³ is 21 inches.
Calculating the length of an edge of a cube based on its volume is a fundamental concept in geometry. By understanding the relationship between the volume and the edge length of a cube, we can easily determine the dimensions of various objects shaped like cubes.
In this particular scenario, the volume of the cooler is given as 9261 in.³. To find the length of an edge, we simply need to take the cube root of the volume. The cube root is the reverse operation of cubing a number, so it helps us determine the original side length of the cube.
By applying the formula and performing the calculation, we find that the length of an edge of the cooler is 21 inches. This means that each side of the cube-shaped cooler is 21 inches long, resulting in a total volume of 9261 cubic inches.
Understanding how to calculate the edge length of a cube based on its volume not only helps us solve practical problems like determining cooler dimensions but also builds a strong foundation in geometry and mathematics.