WorksheetsSurface areas and volumes formulae
Total questions: 14
Worksheet time: 8mins
Volume of a cuboid is
l x b x h
2(lb + bh + hl)
2(l + b)h
l3
Total Surface Area of a cuboid is
lbh
2(lb + bh + hl)
2(l + b)h
lb + bh + hl
Surface area of a rectangular open box is
2(lb + bh + hl)
2(l + b)h + lb
2(l + b)h - lb
lb + bh + hl
The longest rod that can be placed in a room whose length, breadth and height are l, b and h respectively is
l2 +b2 + h2
lbh
l + b + h
3(l + b +h)
Lateral surface area of a cube of side 'a' is
6 a2
4a2
8a2
12a2
Volume of a right circular cylinder is
πr2h
2πrh
4πr2h
2πr2h
Curved surface area of a cylinder is
2πrh
4πr2
2π(r+h)
πr2
Volume of a cone
πr2hl
31πr2h
πrl
πr2l
Volume of a sphere
4πr2
πr2
πr3
34πr3
Volume of a hemisphere is
32πr2
32πr3
34πr3
34πr2
TSA of a hemisphere is
πr2
4πr2
3πr2
6πr2
If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will
Increase
Decrease
Remains unchanged
Doubles
If a cylinder is covered by two hemispheres shaped lid of equal shape, then the total curved surface area of the new object will be
4πrh + 2πr2
4πrh − 2πr2
2πrh + 4πr2
4πrh + 4πr2
A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter
r cm
h cm
2h cm
2r cm
