The formula for the volume of a rectangular prism is V= lwh. The height is 12 cm. The prism has a volume of 10,800 cubic cm. The prism’s length is modeled by 3x cm and its width by (2x+1) cm.
A. What is the value of X?
B. What are the dimensions of he length and the width?
A. V=LWH 10,800= (3x)(2x+1)(12) here I would divide out the 12, then distribute the 3x 900= 6x^2 +3x 6x^2 + 3x -900= 0 now use the quadratic formula to find x x= 12
B. now plug in the x into each given dimension L= 3x= 3(12)= 36 W=(2x+1)= 2(12)+1= 25
