Question

the volume of this rectangular prism is 120 cubic feet. what is the value of t? 6 ft t 2 ft t = feet 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 respectively. Here, \( l = t \), \( w = 2 \) ft, \( h = 6 \) ft, and \( V = 120 \) cubic feet. So the formula becomes \( 120 = t \times 2 \times 6 \).

Step2: Simplify the right - hand side

First, calculate \( 2\times6 = 12 \). So the equation is \( 120 = 12t \).

Step3: Solve for t

To find \( t \), divide both sides of the equation \( 120 = 12t \) by 12. So \( t=\frac{120}{12}=10 \).

Answer:

10