Question

the volume of this rectangular prism is 288 cubic millimeters. what is the value of d? 4 mm 12 mm d = \boxed{} millimeters submit

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \), \( w \), and \( h \) are the length, width, and height. Here, \( l = 12 \) mm, \( w = d \) mm, \( h = 4 \) mm, and \( V = 288 \) cubic mm. So the formula becomes \( 288 = 12 \times d \times 4 \).

Step2: Simplify the right - hand side

First, calculate \( 12\times4 = 48 \). So the equation is \( 288 = 48d \).

Step3: Solve for \( d \)

To find \( d \), divide both sides of the equation by 48. So \( d=\frac{288}{48} \). Calculating \( \frac{288}{48}=6 \).

Answer:

6