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

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) (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

RELATED QUESTIONS
what is the surface area of square prism with a base side of 3cm and height of 8cm (answered by Alan3354)

A triangle with a base 8cm and height 9cm has an area equal to the area of a square. what (answered by Alan3354)

for this question it says "A quadrilateral with sides 8cm, 9cm, 6cm and 5cm has area 45cm (answered by stanbon)

Hi, Ok so I have this problem, and it says their are two polygons that are similar. Find (answered by josgarithmetic,KMST)

what is the answer in this question.. a square prism with the base of side 4.2 cm and... (answered by Alan3354)

If I have one right triangle with a base of 24cm and a height of 16cm and another... (answered by josgarithmetic)

A right prism has a square base and a lateral edge 8cm. Find the are of the base if the... (answered by ikleyn)

A right prism with a square base has a height of 8cm and a volume of 128cm^3. Find the... (answered by Edwin McCravy)

A box with a square base and a height of 8cm has a volume of 1352cm. Find the length of... (answered by addingup)