Mathematics
Class 8
Surface Area and Volume
Q1)
77 litres of water are poured into an upright cylindrical tank of radius 0.35 m. Find the
depth of water in the tank in centimetres.
(3 Marks)
Q2)
What area of a card sheet is needed to make a cylindrical tube of length 45 cm and
radius 3.5 cm? The card sheet overlaps by 2 cm.
(4 Marks)
Q3)
Find the radius of a cylinder of volume 704 cm3 and height 14 cm.
(2 Marks)
Q4)
A cylinder open at the top and closed at the bottom has a radius of 14 cm and a
height of 20 cm. Find its total external surface area.
(3 Marks)
Q5)
A roller is in the form of a cylinder of radius 0.42 m and width 105 m. what area of
ground would it roll and cover in 10 revolutions?
(3 Marks)
Q6)
A metallic tube has a thickness of 1 cm. Its inner diameter is 14 cm.
(6 Marks)
a. Sketch the cross-section of this tube and write down its measurements.
b. Find the area of cross-section of this tube.
c. If the tube is 1.4 m long, find the volume of metal used for the tube.
d. If 1 cm3 of the metal weighs 7.8g/cm3, how much does the tube weigh?
Q7)
A cylindrical metal rod of radius 1 cm and length 90 cm is melted down and recast into (3 Marks)
a cylindrical rod of radius 3 cm. How long is the new rod?
Q8)
980.98 litres of water fills a cylindrical drum of radius 49 cm. Find the height of the drum. (3 Marks)
Q9)
A rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is
formed. Find the volume of the cylinder.
(4 Marks)
Q10)
A rectangular card sheet of length 44 cm and breadth 15 cm is rolled along its length
to form cylinder.
(4 Marks)
a. Find its curved surface area.
b. Find the volume it encloses.
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Mathematics
Class 8
Q11)
An upright cylindrical water tank has a radius of 35 cm. How much water will there be in (2 Marks)
the tank if the depth of the water is 24 cm?
Q12)
(3 Marks)
Q13)
Find the volumes of the cylinders whose measurements are given (π = 22/7).
(4 Marks)
a. Radius 7.2 cm, height 21 cm.
Q14)
A well is dug 20 m deep and has a diameter of 7 m. The earth thus dug out is spread on (4 Marks)
a rectangular plot 22 m long and 14 m broad. What is the height of the platform so
formed?
Q15)
A cylindrical water tank has a diameter of 126 cm and a height of 1 m. it is half full of
water. If a further 249.48 litres of water are poured in, find the new depth of water.
(4 Marks)
Q16)
Find the volume of a cube whose edge measures 3.8 cm.
(1 Mark)
Q17)
If the radius of a cylinder is 7 cm, and its height is 8 cm, find its volume. ( ? = 22/7)
(2 Marks)
Q18)
(1 Mark)
a)
b)
c)
d)
48 cm cube
216 cm cube
64 cm cube
176 cm cube
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Mathematics
Class 8
Q19)
(1 Mark)
a)
b)
c)
d)
Macmillan Publishers India Private Limited
Mathematics
Class 8
Answers
Q1)
Q2)
Q3)
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Mathematics
Class 8
Q4)
Q5)
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Mathematics
Class 8
Q6)
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Mathematics
Class 8
Q7)
Q8)
Q9)
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Mathematics
Class 8
Q10)
Q11)
Q12)
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Mathematics
Class 8
Q13)
Q14)
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Mathematics
Class 8
Q15)
Q16)
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Mathematics
Class 8
Q17)
Q18)
48 cm cube
Q19)
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