Surface area review
Review surface area and try some practice problems.
What is surface area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Finding surface area
To calculate surface area, we add the areas of all the faces of the three-dimensional figure.
Want to learn more about finding surface area? Check out this video.
Example: Rectangular prism
Find the surface area of the right rectangular prism shown below.
Let's draw a net of the rectangular prism.
Each of the sides is a by rectangle.
The total area of both sides is .
The bottom and the top are both by rectangles.
The total area of bottom and the top is .
The back and the front are both by rectangles.
The total area of the back and the front is .
Let's add the areas to find the surface area.
The surface area of the rectangular prism is units.
Find the surface area of the square pyramid shown below.
Want to try some more surface area problems? Check out this exercise.
Want to join the conversation?
- How do you find the surface area of a cylinder??(94 votes)
- Actually if the radius is r, the surface area is 4*pi*r^2(43 votes)
- Would it be possible to find the surface area of a sphere?(32 votes)
- if the radius is r, the surface area is 4*pi*r^2(22 votes)
- the question to find the surface area of a square with sides 2 1/2 confuses me. can someone please explain in detail how to solve this problem?(20 votes)
- Basically, 2 1/2 equals 2.5. So the easiest way to do that is obviously by multiplying 2.5*2.5*6 By the way, * equals multiply.(19 votes)
- What if we don't have a decimal and just a normal number?(12 votes)
- That's ok, you won't always get a decimal or fraction.
Hope this helps, have a great day.(15 votes)
- How do you find the surface area of a cylinder(12 votes)
- The total surface area of the cylinder formula is the sum of the base surface area and the lateral surface area: total_area = base_area + lateral_area , or total_area = 2 * π * r² + (2 * π * r) * h , or total_area = 2 * π * r * (r + h) .(5 votes)
- How about to find the surface area of a hyperboloid?(13 votes)
- How do you find the height of a cuboid, when the length, the width and the surface area is given?(10 votes)
- Surface area of cuboid = 2(lb+bh+hl)
So you put the values and then solve.(9 votes)
- how to find the area of a square pyramid?(10 votes)
- I assume you mean the surface area, since a square pyramid is 3-dimensional.
For a right square pyramid with base side length s and slant height L, the total surface area is the area of the square base with side length s, plus the total area of four triangles each with base s and altitude L. So the total surface area is
s^2 + 4(1/2)(sL) = s^2 + 2sL.
(Note well: the slant height is not the same as the vertical height.)(9 votes)
- I Get it but I still need help and a little bit of practice(13 votes)
- Why are questions called quetions... The more you know.........The less you are(12 votes)
- why is this so funny to me? anybody else??(1 vote)