To find the volume of a box, we use the formula for the volume of a rectangular prism:
[tex]\[ V = \text{length} \times \text{width} \times \text{height} \][/tex]
Given the dimensions of the box:
- Length ([tex]\( L \)[/tex]) = 5 cm
- Width ([tex]\( W \)[/tex]) = 5 cm
- Height ([tex]\( H \)[/tex]) = 10 cm
Let's substitute these values into the formula:
[tex]\[ V = 5 \, \text{cm} \times 5 \, \text{cm} \times 10 \, \text{cm} \][/tex]
Multiplying these together:
[tex]\[ V = 5 \times 5 \times 10 \][/tex]
First, calculate [tex]\( 5 \times 5 \)[/tex]:
[tex]\[ 5 \times 5 = 25 \][/tex]
Next, multiply the result by 10:
[tex]\[ 25 \times 10 = 250 \][/tex]
Therefore, the volume of the box is:
[tex]\[ V = 250 \, \text{cm}^3 \][/tex]
So, the final answer is:
[tex]\[ V = 250 \, \text{cm}^3 \][/tex]
