Sure, let's determine and calculate the volume of a shoe box step-by-step based on the given measurements.
1. Measure the dimensions of the shoe box:
- Length: The length of the shoe box is measured to be 30 cm.
- Width: The width of the shoe box is measured to be 20 cm.
- Height: The height of the shoe box is measured to be 15 cm.
2. Record the dimensions in centimeters:
- Length: 30 cm
- Width: 20 cm
- Height: 15 cm
3. Calculate the volume of the box:
- The formula to calculate the volume [tex]\( V \)[/tex] of a rectangular box (rectangular prism) is given by:
[tex]\[
V = \text{length} \times \text{width} \times \text{height}
\][/tex]
4. Substitute the measured dimensions into the formula:
- [tex]\( \text{Length} = 30 \)[/tex] cm
- [tex]\( \text{Width} = 20 \)[/tex] cm
- [tex]\( \text{Height} = 15 \)[/tex] cm
So, the volume calculation becomes:
[tex]\[
V = 30 \times 20 \times 15
\][/tex]
5. Calculation:
- First, multiply the length and width:
[tex]\[
30 \times 20 = 600
\][/tex]
- Then multiply the result by the height:
[tex]\[
600 \times 15 = 9000
\][/tex]
6. Record the calculated volume:
The volume of the shoe box is 9000 cubic centimeters (cm³).
So, let's summarize the measurements and calculation:
- Length: 30 cm
- Width: 20 cm
- Height: 15 cm
- Volume: 9000 cm³
