## About "Surface area of cube cuboid and cylinder"

Surface area of cube cuboid and cylinder :

Here we are going to see the formulas and example problems to understand the concept of finding surface area of cube, cuboid and cylinder.

## Curved surface area

Curved surface area of a solid is the measurement of outer area,where the extension of top and bottom portion wont be included. .

## Total surface area

Total surface area of a solid is the measurement of outer area,where the extension of top and bottom portion would be included.

Now let us see the formulas used to find the surface area of cube, cuboid and cylinder.

## Cube Curved surface area  =  4a

Total surface area  =  6a

## Cuboid Curved surface area  =  2h(l + w)

Total surface area  =  2 (lw + wh + hl)

## Cylinder Curved surface area  =  2 π r h

Total surface area  =  2  π r (h + r)

## Surface area of cube cuboid and cylinder - Examples

Example 1 :

Daniel is painting the walls and  ceiling of the cuboidal hall with length, width and height of 15 m, 10 m and 7 m respectively. From each can of paint 100 mof area is painted. How many such cans of paint will he need to paint the room.

Solution :

Since Daniel has to paint the four walls and celing, he has to cover five portions.

Surface area of four walls  =  2h (l + w)

Area of ceiling  =  length ⋅ width

length  =  15 m

width  =  10 m

height  =  7 m

Area has to be painted  =  2h (l + w) + length ⋅ width

=  2(7) (15 + 10) + 15 ⋅ 10

=  14 (25) + 150

=  350 + 150

=  500 m2

By using 1 can of paint he can cover 100 m2

In order to cover the area of 500 m2, he has to buy 5 cans.

Example 2 :

A company packages its milk powder in cylindrical container whose base has a diameter of 14 cm and height of 20 cm. Company places a label around the surface of the container. If the label is placed 2 cm from top and bottom, what is the area of the label.

Solution : Required area of label placed   =  2Π rh

Height of label  =  20 - 2 - 2  =  16 cm

Radius of cylinder  =  14/2  =  7  cm

Required area  =  2Π rh

=  2  (22/7)  16  7

=  2  22  16

=  704 cm2

Example 3 :

There are two cuboidal boxes as shown in the adjoining figures. Which box requires the lesser amount of material to make ? Solution :

In order to find which box requires the lesser amount of material, we have to find the surface area of both figures separately,

Surface are of cuboid  =  2h (l + w)

length of cuboid  =  60 cm

width of cuboid  =  40 cm

height of cuboid  =  50 cm

=  2 (50) (60 + 40)

=  100 (100)

=  10000 cm2

Surface are of cuboid  =  4a

Side length of cube  =  50 cm

=  4 (50)

=  200 cm2

Hence to make the shape cube we need lesser amount of material.

After having gone through the stuff given above, we hope that the students would have understood "Surface area of cube cuboid and cylinder"

Apart from the stuff given in this section, if you need any other stuff of "Surface area of cube cuboid and cylinder", please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6

1. Click on the HTML link code below.

Featured Categories

Math Word Problems

SAT Math Worksheet

P-SAT Preparation

Math Calculators

Quantitative Aptitude

Transformations

Algebraic Identities

Trig. Identities

SOHCAHTOA

Multiplication Tricks

PEMDAS Rule

Types of Angles

Aptitude Test 