A cube has a volume of 1,000 cubic feet. What is the length of an edge of the cube. Show how you found your answer.
To find the length of an edge of the cube, we can use the formula for the volume of a cube.
The formula for the volume of a cube is:
Volume = edge^3
Given that the volume of the cube is 1,000 cubic feet, we can substitute this value into the formula and solve for the length of the edge.
1,000 = edge^3
To solve for the edge, we can take the cube root of both sides of the equation.
∛1,000 = ∛(edge^3)
Taking the cube root of 1,000 results in:
∛1,000 = 10
So, the length of an edge of the cube is 10 feet.
To summarize:
1. Use the formula for the volume of a cube: Volume = edge^3.
2. Substitute the given volume (1,000 cubic feet) into the formula: 1,000 = edge^3.
3. Solve for the edge by taking the cube root of both sides: ∛1,000 = ∛(edge^3), resulting in 10.
4. Therefore, the length of an edge of the cube is 10 feet.
To find the length of an edge of the cube, we can use the formula for the volume of a cube. The formula for the volume of a cube is:
Volume = Length^3
Given that the volume of the cube is 1,000 cubic feet, we can set up the equation:
1,000 = Length^3
Now, to solve for the length of the edge, we need to find the cube root of both sides of the equation:
∛1,000 = ∛(Length^3)
Taking the cube root of 1,000 is equivalent to finding a number that, when cubed, equals 1,000. The cube root of 1,000 is 10.
∛1,000 = 10
Therefore, the length of an edge of the cube is 10 feet.
1000 = 10^3
so each side is 10 ft