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

Question

3 years ago

6

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?

Mathematics

1 answer:

mote1985 [20] · Answer 1 · 2022-03-09T15:00:31+03:00

mote1985 [20]3 years ago

7 0

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