Question

if ( l = 4 , \text{cm} ), ( w = 3 , \text{cm} ), and ( h = 12 , \text{cm} ), calculate the volume of the prism:

options:
a ( 19 , \text{cm}^3 )
b ( 121 , \text{cm}^3 )
c ( 132 , \text{cm}^3 )
d ( 144 , \text{cm}^3 )

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( l = 4 \, \text{cm} \), \( w = 3 \, \text{cm} \), and \( h = 12 \, \text{cm} \). Substituting these values into the formula, we get:
\( V = 4 \times 3 \times 12 \)

Step3: Perform the multiplication

First, multiply \( 4 \) and \( 3 \): \( 4 \times 3 = 12 \). Then, multiply the result by \( 12 \): \( 12 \times 12 = 144 \). So, the volume \( V = 144 \, \text{cm}^3 \).

Answer:

D. \( 144 \, \text{cm}^3 \)