**Surface Area
and Volume Class 8 Worksheets**

**Surface Area and Volume Class 8 Worksheets** play a vital role in strengthening the maths
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**Surface Area
and Volume Class 8 Worksheet 1**

**1.
**Surface area of a dice is 2166 mm^{2}.
Find

a.
the length of an edge.

b.
the volume of the dice.

**2.
**State true or false.

a. The volume of an open tank is same
as the volume of a closed tank having the same dimensions.

b.
If the height of a rectangular box is doubled, then the volume is also doubled.

c.
Volume of a cuboid whose base is a square of side 6 cm and height 5 cm is 150
cm^{3}.

d.
If the total surface area of a cube is 54 cm^{2}, then its volume is 9
cm^{3}.

e.
The height of a cuboid of volume 60 m^{3} is 12 m, then the area of its
base is 5 m^{2}.

**3.
**The internal dimension of a wooden box is 36
cm × 32 cm × 28 cm. If the thickness of wood is 2 cm, find its external surface
area.

**4. **The floor of a rectangular room is 4.8 m by 3 m. If the height of
the room is 4.2 m, find the capacity of the air inside the room.

**5. **Bricks of size 25 cm by 12 cm by 8 cm are used to make a wall of
length 5 m, height 2 m and thickness 18 cm. Find the number of bricks
required.

**6.
**Choose the correct option.

a.
If the total surface area of a cube is 54 cm^{2}, then length of its
side is

i. 9 cm

ii. 6 cm

iii. 3 cm

iv. 4 cm

b.
The outer surface area of an open tank of dimensions 6 m × 4 m × 2 m is

i.
48 m^{2}

ii. 44 m^{2}

iii. 12 m^{2}

iv. 64 m^{2 }

c.
If the height of a cuboid is 8 cm and the area of its base is 3 sq. cm, then
its volume is

i.
24 cm^{3}

ii. 11 cm^{3}

iii. 22 cm^{3}

iv. 8/3 cm^{3}

**7. **The length of a cuboid is two times its breadth and three times
its height. Find its length if the total surface area is 72 cm^{2}.

**8.
**A cuboidal room is 5.5 m long, 5 m wide and 4
m high. Find the cost of white washing its walls at ₹ 6.50 per square metre
and roof at ₹ 3.50 per square metre.

**9.
**Fill in the blanks.

a.
The volume of a box of dimensions 10 cm by 8 cm by 4 cm is ___________.

b. The total surface area of a closed
box of dimensions 50 cm by 30 cm by 20 cm is ________.

c.
If a cuboid of height 10 cm stands on a square base of area 12 sq. cm, then its
volume is ___________.

d. The height of
an open tank of capacity 90 cu. m having a square base of side 3 m is _______.

**10. **A carton measures 15 cm by 30 cm by 20 cm. Find the volume of 10
such cartons.

**Surface Area
and Volume Class 8 Worksheet 2**

**1. **Nitin wants to colour four walls of a box measuring 15 cm by 20 cm
by 25 cm for his Science project. Find the surface area of the box on which Nitin paints.

**2. **Three cubes of sides 3 cm, 4 cm and 5 cm are melted to form a new
cube. Find the length of the side of this cube and its surface area.

**3. **In a room of size 8 m by 6 m by 4 m, there are two windows each of
size 4 m by 2 m and one door of size 2 m by 1.5 m. If the cost of painting the
walls is ₹ 480 per sq. m, find the total cost.

**4.
**Match each of the following with the correct
option.

a. The volume of a cube is 216 cm^{3}
and its length is i.
3 cm

b.
If the total surface area of a cube is 54 cm^{2}, then its volume is ii. 6 cm

c.
If the volume of a cuboid of side 3*x*, 2*x *and *x *is 162 cm^{3},
then *x *is iii. 27 cm^{3}

**5. **The length, breadth and height of a closed rectangular box is 8
cm, 6 cm and 4 cm respectively. If the rate of decorating box is ₹ 1.20 per
sq. cm, find the cost of decorating the box.

**6.
**360000 litres of water is stored in a
reservoir whose length and breadth of the base is 40 m and 30 m respectively.
Find the height of the water level of the reservoir.

**7. **Find the amount of the paper required to make
cuboidal open basket of dimensions 85 cm by 70 cm by 55 cm, if the thickness of
the paper is negligible.

**8.
**Fill in the blanks.

a. Two boxes A and B has the same base
area. If the height of box A is 50% more than box B, then volume of A is
___________ times the volume of B.

b. Number of cubes of 3 cm edge that
can be cut from a cube of 18 cm edge is ___________.

**9. **The floor and walls of a swimming pool are to be painted which
measures 36 m × 22 m × 2.5 m. Find the surface area of the pool to be painted.

**10.
**Find the surface area and volume of a cube
with an edge of length 16 cm.

**Surface Area
and Volume Class 8 Worksheet 3**

**1. **Find the height of a rectangular tank whose volume is 960 cm^{3},
length 12 cm and breadth 10 cm.

**2.
**State true or false in each of the following:

a.
Volume of a cube of side 10 cm is 1000 cm^{3}

b. A cuboid measuring 24 cm by 9 cm by
8 cm is melted to form a cube. Each side of cube is 12 cm.

c. Surface area
of a cube of side 2.1 cm is 4.41 cm^{2}.

d. The volume of a cuboid is 162.5 m^{3}.
If the length and breadth are 10 m and 5 m respectively, then height is 3.25
cm.

e. The dimensions of a cuboid is 8 cm
by 7 cm by *x *cm. If volume is 336 cm^{2}, then *x *is equal
to 6 cm.

**3.
**The measurement of a rectangular box is 18 cm
by 36 cm by 20 cm. 40 identical boxes are fitted into it. Find the volume of
each box.

**4. **Find the volume and surface area of a cuboid with dimensions 12 cm
by 10 cm by 8 cm.

**5.
**Choose the correct option for each of the
following:

a.
Surface area of a cube is 96 cm^{2}, then its volume is

i.
216 cm^{3}

ii. 64 cm^{3 }

iii. 384 cm^{3}

iv. 144 cm^{3}

b.
The volume of a rectangular solid is 2 m^{3}. Its volume in cm^{3}
is

i.
20000 cm^{3}

ii. 200 cm^{3 }

iii. 2000000 cm^{3}

iv. 20 cm^{3}

c. A slab is 10 cm high, 20 cm long
and 5 cm thick. If the length is increased by 6 cm, then volume increases by

i.
300 cm^{3}

ii. 60 cm^{3}

iii. 216 cm^{3}

iv. 6 cm^{3}

**6.
**Find the volume of the following rectangular
solids:

a.
length 2.4 cm, breadth 1.7 cm and height 6 cm

b.
length 12 cm, breadth 2 cm and height 35 cm

**7.
**Find the lateral surface area of a cube of
side 8 cm and also find its total surface area.

**8.
**How many matchbox can be placed in a box of size
60 cm by 55 cm by 45 cm, if the size of a match box is 3 cm by 2.5 cm by 1.5
cm?

**9. **Three cuboids of length 24 cm, breadth 6 cm
and height 4 cm are joined together to form another cuboid. Find the volume of
the required cuboid.

**Surface Area
and Volume Class 8 Worksheet 4**

**1.
**State whether true or false:

a.
A cuboid 9 cm by 4 cm by 6 cm is melted and made into a cube of side 6 cm.

b.
Volume in cubic cm is 25.5. The same volume in cubic metre is 0.000255.

c.
The volume of a cuboid of side 25 m by 14 m by 7 m is 2450 m^{3}.

d.
The surface area of a cube is 216 cm^{2}. The volume of this cube is
216 m^{3}.

e. Surface area of a rectangular box
is 35 sq. m. Cost for painting it at ₹ 25 per sq. m is ₹ 2775.

**2.
**A room measures 8 m by 6.4 m by 6 m, find the
volume.

**3.
**Find the lateral surface area of a cuboid of
dimension 8 cm, 6 cm, 4 cm?

**4.
**Fill in the blanks.

a.
Volume of a cuboid is equal to ___________.

b.
1 m^{3} is equal to ___________ litres.

c.
The surface area of a tank which is a cube of side 2.5 m is ___________.

d. When a solid
is melted and made into another solid of different size, the volume of the two
solids is ___________.

e. A floor is 5 m by 4 m. A square
carpet of side 3 m is laid on the floor. The uncarpeted area is ___________.

**5.
**Find the volume of a cuboid whose dimensions
are 3.4 m by 1.6 m by 1.3 m. If 1 m^{3} = 1000 litres, find the volume
in litres.

**6.
**Choose the correct options for each of the
following:

a.
If surface area of a cube is 486 cm^{3}, each of its side is

i. 9 cm

ii. 18 cm

iii. 12 cm

iv. 24 cm

b.
The volume and surface area of a cube of side 6 cm are

i. unequal

ii. equal

iii. volume is grater

iv. surface
area is greater

c.
Volume of a cube is equal to 512 cm^{3}, then its surface area is

i.
384 cm^{2}

ii. 348 cm^{2}

iii. 240 cm^{2}

iv. 64 cm^{2}

d. The number of bricks measuring 8
cm by 4 cm by 3 cm that can be fitted in a crate measuring 24 cm by 12 cm by 6
cm are

i. 24

ii. 16

iii. 32

iv. 18

**7. **Volume of cuboid is 840 cm^{3}. If its height is 7 cm and
breadth 8 cm, find its length.

**8. **Find the height of a cuboid of length 18 cm and breadth 16 cm, if
its lateral surface area is 544 cm^{2}?

**9. **A tea chest measures 60 cm by 40 cm by 30 cm. If small tea box
measuring 10 cm by 8 cm by 5 cm is fitted into it. How many boxes will it hold?

**10.
**Find the lateral surface area of a cube of
side 15 cm?

**ANSWERS**

**Worksheet 1**

1. a. 19
cm b. 6859 cm^{3}

2. a.
True b. True

c. False d.
False

e. True

3. 7744 cm^{2 }4. 60.48 m^{3}

5. 750
bricks

6. a.
iii b. iv

c. i

7. 6 cm

8. ₹ 546; ₹
96.25

9. a. 320
cm^{3} b. 6200 cm^{2}

c. 120 cm^{3 }d. 10 m^{ }

10. 90,000 cm^{3}

^{ }

**Worksheet 2**

1. 1750 cm^{2}

2. 6 cm,
216 cm^{2}

3. ₹ 67,680

4. a.
ii b. iii

c. i

5. ₹ 249.60 6. 30 cm

7. 23,000
cm^{2}

8. a.
1.5 b. 216

9. 1082 cm^{2}

10. 1536 cm^{2};
4096 cm^{3}

**Worksheet 3**

1. 8 cm

2. a. True b. True

c. False d. True

e. True

3. 480 cm^{3}

4. 960 cm^{3};
592 cm^{2}

5. a.
ii b. iii

c. i

6. a. 24.48
cm^{3} b. 840 cm^{3}

7. 256 cm^{2};
384 cm^{2}

8. 13,200 matchbox

9. 1728 cm3

**Worksheet 4**

1. a.
True b. False

c. True d. True

e. False

2. 307.2 cm^{3}

3. 112 cm^{2}

4. a. *l*
× *b* × *h* b. 1000

c. 37.5 m^{2} d. equal

e. 11 m^{2}

5. 7.072 m^{2};
7072 litres

6. a. i b. ii

c. i d. iv

7. 15 cm 8. 8 cm

9. 180
boxes

10. 900 cm^{2 }

**MCQs Questions for Class 8 Maths**

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