A rectangular prism has dimensions 5 by 6 by x. If the total surface area of the prism is 157.9 square units, what is the value of x?

What is the volume of the above prism?

3 answers

Surface Area = 2wL +2LH + 2Hw
and you have a length of 5, a width of 6, so your height is X
157.9 = (2)(6)(5) + 2(5)(x) + 2(x)(6)
Simplify, gather like terms and solve for x

then to find the volume sub your values into Volume = LWH

thanks

You are very welcome!