(ii) Work out the volume of each shape below:
(a)
(b)
(c)
(d)
Sol: (a) Since the given shape is a cuboid having
Length = 8m
Width = 3m
Height = 4m
Volume of a cuboid = length x width x height
= 8m x 3m x 4m
= 96 m3
(b) Since the given shape is a cube having side = 3m
Volume of a cube = side x side x side
= 3m x 3m x 3m
= 27m3
(c) Since the given shape is a cuboid having
Length = 15m
Width = 4m
Height = 8m
Volume of a cuboid = length x width x height
= 15m x 8m x 4m
= 480 m3
(d) Since the given shape is a cube having side = 6m
Volume of a cube = side x side x side
= 6m x 6m x 6m
= 216 m3
(iii) Which of the following has a greater volume?
(all units are in cm)Sol: Shape A is cuboid having
length = 4m
width = 2m
height = 3m
Volume of Shape A = length x width x height
= 4m x 2m x 3m
= 24m3
Shape B is cuboid having
length = 3m
width = 5m
height = 2m
Volume of Shape A = length x width x height
= 3m x 5m x 2m
= 30m3
Shape B has greater volume, i.e. 30 cm cubes.
(iv) Tick the one which has more weight.
Sol: Table
(v) If one bucket holds 2 litres, how many would 9 buckets hold?
Sol: Volume of water 1 bucket can hold = 2 litres
Volume of water 9 buckets can hold = 9 x 2 = 18 litres
So, the answer is 18 litres.
(vi) How much heavier is the toffee packet which has mass 1 kg 845 g in comparison to 500 g of chocolates? Sol: Since first toffee packet weighs 1kg 845g = 1845g
And second toffee packet weighs 500g
Heavy toffee packet can be calculated as
=1845g - 500g
= 1345g
(x) If a cup holds 250ml, how many cups would it take to fill a 5 litre bottle?
Sol: Volume of liquid 1 cup can hold = 250 ml = 250/1000 = 0.25l
Cups required to fill a 5 litre bottle = 5 x (1/0.25) = 20 cups
(ii) Find the volume of a cuboid of length = 3 cm, breadth= 2 cm and height = 10 cm?
(a) 50 cubic cm
(b) 60 cubic cm
(c) 15 cubic cm
(d) 45 cubic cm
Ans: 60 cubic cm
(iii) The volume of a cube is 216 cubic cm. Find its edge?
(i) 4 cm
(ii) 6 cm
(iii) 8 cm
(iv) 10 cm
Ans: 6 cm
(iv) The volume of a cuboid is 1500 cubic m. If the length and breadth are 25 m and 6 m respectively. Find its height?
(i) 150 m
(ii) 15 m
(iii) 10 m
(iv) 5m
Ans: 10 m
(v) How many coins are there in a sack of 5 rupee coins if it weighs 9 kg, if one coin weighs 9g?
(a) 1000
(b) 2000
(c) 3000
(d) 4000
Ans: 1000
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