Calculate Cube Edge Length: Finding Sides When Volume = 1000 cm³

Question

A cube has a volume
equal to 1000 cm3.

How long are the cube's edges?

Video Solution

Solution Steps

00:00 Find the cube's edge
00:03 We'll use the formula for calculating cube volume (edge to the power of 3)
00:09 We'll substitute appropriate values and solve for edge A
00:32 And this is the solution to the problem

Step-by-Step Solution

To solve the problem, follow these steps:

  • Step 1: Identify the given volume of the cube, V=1000 V = 1000 cm³.
  • Step 2: Use the formula for the volume of a cube, V=a3 V = a^3 , to set up the equation a3=1000 a^3 = 1000 .
  • Step 3: Solve for a a by taking the cube root of 1000, i.e., a=10003 a = \sqrt[3]{1000} .

Let's compute the cube root:

a=10003=10 a = \sqrt[3]{1000} = 10 .

Therefore, the length of each edge of the cube is 10 10 cm.

Answer

10 10 cm