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SURFACE AREA AND VOLUME
FORMULAS
 CUBOID
 Volume = (l x b x h) cubic units.
 Surface area = 2(lb + bh + lh) sq.
units.
 Diagonal = l2 + b2 + h2 units.
 CUBE
 Volume = a3 cubic units.
 Surface area = 6a2 sq. units.
 Diagonal = 3a units.
 CYLINDER
 Volume = (r2h) cubic units.
 Curved surface area = (2rh) sq.
units.
 Total surface area = 2r(h + r) sq.
units.
 CONE
 Slant height, l = h2 + r2 units.
 Volume = r2h cubic units.
 Curved surface area = (rl) sq. units.
 Total surface area = (rl + r2) sq.
units.
 SPHERE
 Volume = r3 cubic units.
 Surface area = (4r2) sq. units.
 HEMISPHERE
 Volume = r3 cubic units.
 Curved surface area = (2r2) sq.
units.
 Total surface area = (3r2) sq.
units.
 Note: 1 litre = 1000 cm3.
a)18 800 cm2
b)9400 cm2
c)4700 cm2
d)60 000 cm2
Q2) Surface Area is found by:
a)Adding the lengths of all the sides together
b)Adding the area of all the sides together
c)Multiplying the length and bases together
d)Multiplying the perimeter by two
Q3) In a shower, 5 cm of rain falls. The volume of water
that falls on 1.5 hectares of ground is:
a) 75000 cu. m
b) 7500 cu. m
c) 75 cu. m
d) 750 cu. m
a)720
b)900
c)1200
d)1800
Q5) 66 cubic centimetres of silver is
drawn into a wire 1 mm in diameter. The
length of the wire in metres will be:
a)84
b)90
c)168
d)336
a) 3.6 kg
b) 36.9 kg
c) 36 kg
d) 3.696 kg
a)1/2 height ( b1+b2)
b)Base * height
c)Base * length
d)1/4 height ( b1+b2 )
a)1 x base x height
b)1/2 x base x height x length
c)2 x base x length
d)2/3 x base x height
quiz on Surface area and volume

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quiz on Surface area and volume

  • 2. FORMULAS  CUBOID  Volume = (l x b x h) cubic units.  Surface area = 2(lb + bh + lh) sq. units.  Diagonal = l2 + b2 + h2 units.  CUBE  Volume = a3 cubic units.  Surface area = 6a2 sq. units.  Diagonal = 3a units.  CYLINDER  Volume = (r2h) cubic units.  Curved surface area = (2rh) sq. units.  Total surface area = 2r(h + r) sq. units.  CONE  Slant height, l = h2 + r2 units.  Volume = r2h cubic units.  Curved surface area = (rl) sq. units.  Total surface area = (rl + r2) sq. units.  SPHERE  Volume = r3 cubic units.  Surface area = (4r2) sq. units.  HEMISPHERE  Volume = r3 cubic units.  Curved surface area = (2r2) sq. units.  Total surface area = (3r2) sq. units.  Note: 1 litre = 1000 cm3.
  • 3. a)18 800 cm2 b)9400 cm2 c)4700 cm2 d)60 000 cm2
  • 4. Q2) Surface Area is found by: a)Adding the lengths of all the sides together b)Adding the area of all the sides together c)Multiplying the length and bases together d)Multiplying the perimeter by two
  • 5.
  • 6. Q3) In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is: a) 75000 cu. m b) 7500 cu. m c) 75 cu. m d) 750 cu. m
  • 7.
  • 8.
  • 9.
  • 11.
  • 12. Q5) 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: a)84 b)90 c)168 d)336
  • 13.
  • 14. a) 3.6 kg b) 36.9 kg c) 36 kg d) 3.696 kg
  • 15.
  • 16. a)1/2 height ( b1+b2) b)Base * height c)Base * length d)1/4 height ( b1+b2 )
  • 17.
  • 18. a)1 x base x height b)1/2 x base x height x length c)2 x base x length d)2/3 x base x height