Calculate Cube Volume: Finding Volume with 0.5 cm Edge Length

Question

The edges of a cube are 0.5 cm long.

Calculate the volume of the cube.

0.50.50.5

Video Solution

Solution Steps

00:00 Calculate the volume of the cube
00:03 Edge length according to the given data
00:07 We'll use the formula for calculating cube volume (edge cubed)
00:12 We'll substitute the edge length and solve for the volume
00:19 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we will calculate the volume of a cube using the standard formula for its volume:

  • Volume formula of a cube: V=s3 V = s^3 , where s s is the side length.

Given that each edge of the cube is 0.5 cm, we substitute this value into the formula:

V=(0.5cm)3 V = (0.5 \, \text{cm})^3

Calculating the cube of 0.5:

0.53=0.5×0.5×0.5 0.5^3 = 0.5 \times 0.5 \times 0.5

=0.25×0.5 = 0.25 \times 0.5

=0.125cm3 = 0.125 \, \text{cm}^3

However, it is important to recognize that the calculations when simplified produce a fraction:

0.125 0.125 can be written in fraction form as 18 \frac{1}{8} .

Therefore, the volume of the cube is 18cm3 \frac{1}{8} \, \text{cm}^3 , which matches the given answer choice.

Answer

18 \frac{1}{8} cm³