a cubical container is half filled with water if the volume of water in the container is 500cm3 find the length of one edge of container?
.5(e^3) = 500
Solve for e.
To solve this problem, we need to use the formula for the volume of a cube, which is given by:
Volume = side^3
Let's call the length of one edge of the container "x". Since the container is a cube, all sides are equal in length.
Given that the volume of water in the container is 500cm^3, and the container is half-filled, we can set up the equation as follows:
500 = (x^3) / 2
To find the length of one edge, we need to isolate "x" in the equation. We can start by multiplying both sides of the equation by 2 to get rid of the fraction:
1000 = x^3
Now, to solve for "x", we need to find the cube root of both sides of the equation. Taking the cube root of both sides will give us the length of one edge.
∛(1000) = ∛(x^3)
So, the length of one edge is equal to the cube root of 1000.
Using a calculator, we can find that the cube root of 1000 is 10.
Therefore, the length of one edge of the container is 10 cm.