New Learning Composite Mathematics Class 5 S.K. Gupta Anubhuti Gangal Volume Chapter 18B Solution
New Learning Composite Mathematics Class 5 S.K. Gupta Anubhuti Gangal Volume Chapter 18B Solution by expert Math Teacher.
Learning Composite Maths Class 5 Volume 18B
1) Write the following measures in cubic centimeters.
a) 275 mL
b) 4L
c) 1L 30 mL
d) 16 L 3 mL
Ans:
a) We know that 1 cm3= 1 mL
so 275 mL = 275 cubic centimeters
b) We know that 1 L = 1000 cm3
∴4L = 4000 cubic centimeters.
c) We know that 1L = 1000 cm3 and 1mL = 1 cm3
∴ 1 L = 1000 cm3 and 30 mL = 30 cm3
So 1L 30 mL = 1030 cubic centimeters
d) We know that 1L = 1000 cm3 and 1mL = 1 cm3
∴ 16 L = 16000 cm3 and 3 mL = 3 cm3
So 16L 3 mL = 16003 cubic centimeters
2) Write in litres and mililitres.
a) 346 cm3 = 346 mL = 0.346 L
b) 2180 cm3= 2180 mL = 2.180 L
c) 7809 cm3= 7809 mL = 7.809 L
d) 18070 cm3= 18070 mL = 18.070 L
3) Find the volume of each of the following tanks and their capacity in litres.
a) height = 2.7 m, length = 6 m, width = 4 m
Ans: Height= 270 cm, length =600 cm width = 400 cm
The capacity of the tank is 270 × 600 × 400 cu cm = (270 × 400 × 600)/1000 L = 64800 L
b) height = 1.5 m, length = 2 m, width = 3 m
Ans: Height= 150 cm, length= 200 cm width = 300 cm
The capacity of the tank is 150 × 200 × 300 cu cm = (150 × 200 × 300)/1000 L = 9000 L
c) height = 0.08 m, length = 0.25 m, width = 0.2 m
Ans: Height= 8 cm, length =25 cm width = 20 cm
The capacity of the tank is 8 × 25 × 20 cu cm = (8 × 25 × 20)/1000 L = 4 L
d) height = 14 cm, length = 40 cm, width = 15 cm
Ans: Height= 14 cm, length = 40 cm width = 15 cm
The capacity of the tank is 14 × 40 × 15 cu cm = (14 × 40 × 15)/1000 L = 8.4 L
4) A milk can is 45 cm × 40 cm × 20 cm
a) Find the volume of the milk can.
Ans: The volume of the milk can = 45 × 40 × 20 cu cm. = (45×40×20)/1000 L = 36 L
b) How many litres of milk can the can hold?
Ans: As the volume of the milk can is 36L so it can hold up to 36L milk.
c) A litre of milk cost ₹15.80. How much did one can of milk cost?
Ans : Cost of one litre of milk is ₹15.80 and the capacity of the can is 36 L. So the cost of 36 litre milk is ₹15.80×36 = ₹568.8
5) A fish tank is 48 cm long, 2 cm broad and 11 cm high.
a) Calculate its volume in cm3.
Ans: The volume of the fish tank is 48×2×11 cm3 = 1056 cm3
b) Write down its volume in litres and mililitres.
Ans: The volume of the tank is 1056 cm3 = 1056 mililitres = 1.056 Litres.
6) A container in the shape of a cube has sides one metre long. Calculate its capacity in cubic centimeters, mililitres and litres.
Ans: The length of the side of the cubic container = 1 m = 100 cm
Volume or capacity of the container = 1003 cm3 = 1000000 cm3 = 1000000 miliLitres = 1000 Litres
7) A rectangular tank shown alongside is filled with water to 1/5 th of its height. Water from a tank flows into the tank at 1.8 litres a minute. How much water is in the tank after 6 minutes. Give your answer in litres.
Ans: The dimensions of the tank
Height = 40 cm, length = 48 cm, breadth = 35 cm.
The height of the water initially = 40×(1/5) cm = 8 cm
The volume of the water available in the tank initially = 8×48×35 cm3 = 13440 cm3= 13.44 Litre.
The amount of water entered into the tank in 6 minutes = 1.8×6 Litre = 10.8 Litre
Total amount of water after 6 minutes = (13.44+10.8) litre = 24.44 litre
8) Dev wants to fill a cubical tank of edge 24 cm completely. He pours bottles of water each with a capacity of 384 mL into the tank one at a time. How many bottles of water will he need to fill the tank completely?
Ans: The capacity of the cubical tank = 243 cu cm. = 13824 cu cm. = 13824 mL
So the number of bottles of capacity 384 mL required to fill the tank is = (13824/384) = 36