How do you find the surface area of a cylinder??

Actually if the radius is r, the surface area is 4*pi*r^2

Would it be possible to find the surface area of a sphere?

if the radius is r, the surface area is 4*pi*r^2

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?

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.

How do you find the surface area of a cylinder

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) .

Why are questions called quetions... The more you know.........The less you are

why is this so funny to me? anybody else??

What if we don't have a decimal and just a normal number?

That's ok, you won't always get a decimal or fraction. Hope this helps, have a great day.

how to find the area of a square pyramid?

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.)

How do you find the height of a cuboid, when the length, the width and the surface area is given?

Surface area of cuboid = 2(lb+bh+hl) So you put the values and then solve.

Main content

6th grade

Course: 6th grade > Unit 10

Lesson 5: Surface area

Surface area review

Google Classroom

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.

[What is a net?]

Each of the sides is a

4

1.5

rectangle.

\begin{aligned} Area of a rectangle & = length \cdot width \\ = 4 \cdot 1.5 \\ = 6 \end{aligned}

The total area of both sides is

2 \cdot 6 = 12

The bottom and the top are both

4

5

rectangles.

\begin{aligned} Area of a rectangle & = length \cdot width \\ = 4 \cdot 5 \\ = 20 \end{aligned}

The total area of bottom and the top is

2 \cdot 20 = 40

The back and the front are both

1.5

5

rectangles.

\begin{aligned} Area of a rectangle & = length \cdot width \\ = 1.5 \cdot 5 \\ = 7.5 \end{aligned}

The total area of the back and the front is

2 \cdot 7.5 = 15

Let's add the areas to find the surface area.

\begin{aligned} Surface area & = 12 + 40 + 15 \\ = 67 \end{aligned}

The surface area of the rectangular prism is $67$ ‍ units $^{2}$ ‍.

Practice set

Problem 1

Find the surface area of the square pyramid shown below.

units

^{2}

Want to try some more surface area problems? Check out this exercise.

Want to join the conversation?

Sort by:

Bee
Posted 7 years ago. Direct link to Bee's post “How do you find the surfa...”
How do you find the surface area of a cylinder??
Button navigates to signup pageComment on Bee's post “How do you find the surfa...”
(101 votes)
Answer
- TTV.StreamSniper.YT
  Posted 6 years ago. Direct link to TTV.StreamSniper.YT's post “Actually if the radius is...”
  Actually if the radius is r, the surface area is 4*pi*r^2
  Comment on TTV.StreamSniper.YT's post “Actually if the radius is...”
  (51 votes)
David966★_
Posted 6 years ago. Direct link to David966★_'s post “Would it be possible to f...”
Would it be possible to find the surface area of a sphere?
Button navigates to signup pageComment on David966★_'s post “Would it be possible to f...”
(38 votes)
Answer
- Timber Lin
  Posted 6 years ago. Direct link to Timber Lin's post “if the radius is r, the s...”
  if the radius is r, the surface area is 4*pi*r^2
  Comment on Timber Lin's post “if the radius is r, the s...”
  (25 votes)
Aeonos Shroud
Posted 6 years ago. Direct link to Aeonos Shroud's post “the question to find the ...”
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?
Button navigates to signup pageComment on Aeonos Shroud's post “the question to find the ...”
(21 votes)
Answer
- gopal2373
  Posted 6 years ago. Direct link to gopal2373's post “Basically, 2 1/2 equals 2...”
  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.
  Comment on gopal2373's post “Basically, 2 1/2 equals 2...”
  (21 votes)
Conner Steinborn
Posted 4 years ago. Direct link to Conner Steinborn's post “What if we don't have a d...”
What if we don't have a decimal and just a normal number?
Button navigates to signup pageButton navigates to signup page
(12 votes)
Answer
- P7 Logan, Aaron
  Posted 4 years ago. Direct link to P7 Logan, Aaron's post “That's ok, you won't alwa...”
  That's ok, you won't always get a decimal or fraction.
  
  Hope this helps, have a great day.
  Comment on P7 Logan, Aaron's post “That's ok, you won't alwa...”
  (21 votes)
Nicholes Adams
Posted 3 years ago. Direct link to Nicholes Adams's post “How do you find the surfa...”
How do you find the surface area of a cylinder
Button navigates to signup pageComment on Nicholes Adams's post “How do you find the surfa...”
(15 votes)
Answer
- ®¥ħ@
  Posted a year ago. Direct link to ®¥ħ@'s post “The total surface area of...”
  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) .
  Button navigates to signup page
  (8 votes)
Jack Vazquez
Posted 4 years ago. Direct link to Jack Vazquez's post “I Get it but I still need...”
I Get it but I still need help and a little bit of practice
Button navigates to signup pageComment on Jack Vazquez's post “I Get it but I still need...”
(17 votes)
Answer
- milana
  Posted a month ago. Direct link to milana's post “i don't get it either”
  i don't get it either
  Button navigates to signup page
  (0 votes)
Emily.Mitchell
Posted 4 years ago. Direct link to Emily.Mitchell's post “how to find the area of a...”
how to find the area of a square pyramid?
Button navigates to signup pageButton navigates to signup page
(11 votes)
Answer
- Ian Pulizzotto
  Posted 4 years ago. Direct link to Ian Pulizzotto's post “I assume you mean the sur...”
  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.)
  Comment on Ian Pulizzotto's post “I assume you mean the sur...”
  (12 votes)
Vineetha V Banavar
Posted 5 years ago. Direct link to Vineetha V Banavar's post “How do you find the heigh...”
How do you find the height of a cuboid, when the length, the width and the surface area is given?
Button navigates to signup pageButton navigates to signup page
(11 votes)
Answer
- neelshaan2004
  Posted 5 years ago. Direct link to neelshaan2004's post “Surface area of cuboid = ...”
  Surface area of cuboid = 2(lb+bh+hl)
  So you put the values and then solve.
  Button navigates to signup page
  (10 votes)
®¥ħ@
Posted 4 years ago. Direct link to ®¥ħ@'s post “How about to find the sur...”
How about to find the surface area of a hyperboloid?
Button navigates to signup pageComment on ®¥ħ@'s post “How about to find the sur...”
(14 votes)
Answer
aidenburgos
Posted 4 years ago. Direct link to aidenburgos's post “Why are questions called ...”
Why are questions called quetions... The more you know.........The less you are
Button navigates to signup pageComment on aidenburgos's post “Why are questions called ...”
(13 votes)
Answer
- GhostGirl
  Posted 7 months ago. Direct link to GhostGirl's post “why is this so funny to m...”
  why is this so funny to me? anybody else??
  Button navigates to signup page
  (3 votes)