A rectangular prism has a length of 10
centimeters, a width of 15 centimeters, and a
height of 12 centimeters. What is the volume of
this rectangular prism?



Answer :

To find the volume of a rectangular prism, use the formula:

[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]

Given:
- Length ([tex]\( l \)[/tex]) = 10 centimeters
- Width ([tex]\( w \)[/tex]) = 15 centimeters
- Height ([tex]\( h \)[/tex]) = 12 centimeters

Substitute these values into the formula:

[tex]\[ \text{Volume} = 10 \, \text{cm} \times 15 \, \text{cm} \times 12 \, \text{cm} \][/tex]

Following the order of multiplication:
1. Multiply the length and the width:

[tex]\[ 10 \, \text{cm} \times 15 \, \text{cm} = 150 \, \text{cm}^2 \][/tex]

2. Then multiply this result with the height:

[tex]\[ 150 \, \text{cm}^2 \times 12 \, \text{cm} = 1800 \, \text{cm}^3 \][/tex]

Therefore, the volume of the rectangular prism is [tex]\( 1800 \, \text{cubic centimeters} \)[/tex].