SOLUTION: ok i have a square prism with one side of the base 9cm and another 8cm. the question tells me to find the missing value of X which is the height of the prism if the surface area is

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Question 190196: ok i have a square prism with one side of the base 9cm and another 8cm. the question tells me to find the missing value of X which is the height of the prism if the surface area is 264cm squared. what is x and how do i find it?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I don't think you meant "square prism" because a square prism is a right regular prism having squares for bases. Since the length and width of your bases are different, the bases are not squares and you do not have a square prism. What you have is variously called a rectangular prism, a right rectangular prism, or a rectangular parallelepiped, i.e. a polyhedron for which all faces are rectangles.

Since you did not specify lateral surface area which is the surface area of the entire solid figure excluding the bases, I assume you mean the Total Surface Area is

The total surface area of a right regular prism is given by:



Where h is the height, P is the perimeter of the base, and B is the area of the base.

Substituting:



You can do your own arithmetic.

John