Word Problems: How Big, How Heavy | Mathematics for Class 5: NCERT PDF Download

Q1: Find the volume of a cuboid of length 4 cm, breadth 2 cm and height 3 cm?
Ans: Volume =l x b x h = 4 x 2 x 3 = 24 cu cm

Q2: A water tank has length 9 cm, breadth 7 cm and height 5 cm. How many cubic metre of water can it hold?
Ans: Given l = 9 cm, b= 7 cm, h = 5 cm
Volume = l x b x h = 9 x 7 x 5 = 315 cu cm.

Q3: Find the volume of a cuboid of side 8cm x 6 cm x 5 cm and a cube of side 9 cm.
Which has greater volume?
Ans: Volume of a cuboid = l x b x h = 8 x 6 x 5 = 240 cu cm
Volume of a cube = l x b x h = 9 x 9 x 9 = 27 cu cm.
Therefore, cuboid has a greater volume.

Q4: A 2 rupee coin weighs 6g. What is the weight of a sack with:
(a) 1500 coins?
(b) 3000 coins?
Ans: Weight of a two rupee coin = 6 g
(a) Weight of a sack with 1500 coins = 1500 x 6 = 9000g = 9 kg
(b) Weight of a sack with 3000 coins = 3000 x 6 = 18000 kg

Q5: The length, breadth and height of the inside of a rectangular box are 100 cm, 80 cm and 60 cm. How many centimeter cubes can be fitted in that box?
Ans:
Given l =100 cm, b = 80 cm, h =60 cm
Volume = l x b x h = 100 x 80 x 60 = 480000 cu cm.

Q6: A brick is 24 cm long, 14 cm wide and 10 cm high. Find the space occupied by 500 such bricks?
Ans: Given l = 24 cm, b = 14 cm, h = 10 cm
Volume of one brick = l x b x h = 24 x 14 x 10 = 3360 cu cm.

Q7: The volume of 6 marbles is 5 ml. Then find the volume of
(a) 24 such marbles
(b) 30 such marbles.
Ans: The volume of 6 marbles = 5 ml
(a) Volume of 24 such marbles = 5 x 4 = 20 ml
(b) Volume of 30 such marbles = 5 x 5 = 25 ml

Q8: A match box measure 6 cm x 5 cm x 4 cm. Find its volume?
Ans: Volume = l x b x h = 6 x 5 x 4 = 120 cu cm

Q9: Find the volume of a cube whose edge is 15cm long?
Ans: Volume of a cube = l x b x h = 15 x 15 x 15 = 3375 cu cm

Q10: How many cubes of side 5 cm can be packed in a box of 30 cm x 25 cm x 20 cm?
Ans: Volume of a cuboid = l x b x h = 30 x 25 x 20 = 15000 cu cm