Word Problems: Measurement of Length, Mass and Capacity | Mathematics for Class 5 PDF Download

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Q1: Calculate the sum of lengths: 21 m 13 cm, 33 m 55 cm and 45 m 6 cm.
Ans:
21 m 13 cm + 33 m 55 cm + 45 m 6 cm
= (21 + 33 + 45) m (13 + 55 + 6) cm
= 99 m 74 cm
Therefore, the sum of given lengths = 99 m 74 cm.

Q2: A pile of 10 books is 10 cm high. What is the thickness of each book?
Ans:
As we know,
1 cm = 10 mm
Given that the height of a pile of 10 books = 10 cm
10 books = 10 cm
= 10 x 10 mm
= 100 mm
1 book = 100/10
= 10 mm
Therefore, the thickness of each book = 10 mm.

Q3: Beena bought 3 kg 760 grams of wool to make a carpet. How much more wool does she need to make the weight 4 kg?
Ans:
Given the weight of wool = 3 kg 760 grams
Let us convert this weight into grams.
3 kg 760 grams = (3 × 1000 + 760) grams
= (3000 + 760) grams
= 3760 grams
4 kg = (4 × 1000) grams = 4000 grams
Difference = (4000 – 3760) grams = 240 grams
Therefore, 240 grams of more wool is required.

Q4: The cost of 1 litre of syrup is Rs. 840.80. Find the cost of 600 ml of the syrup.
Ans:
Given,
The cost of 1 litre of syrup = Rs. 840.80
As we know,
1 litre = 1000 ml
The cost of 600 ml of the syrup = (600/1000) × Rs. 840.80 = Rs. 504.48

Q5: Vinu and Shan together weigh 72 kg 350 g. If Vinu weighs 39 kg 185 g, what is Shan’s weight?
Ans:
Given,
Vinu’s weight = 39 kg 185 g
Let x be Shan’s weight.
According to the given,
39 kg 185 g + x = 72 kg 350 g
x = 72 kg 350 g – 39 kg 185 g
= (72 – 39) kg (350 – 185) g
= 33 kg 165 g
Therefore, Shan’s weight is 33 kg 165 g.

Q6: Two sides of a triangle are 11 cm and 15 cm. If the perimeter of the triangle is 36 cm, find its third side.
Ans:
Let x cm be the third side of the triangle.
Given,
Two sides: 11 cm and 15 cm
Perimeter of triangle = 36 cm
11 + 15 + x = 36
26 + x = 36
x = 36 – 26
x = 10 cm
Hence, the third side of the triangle is 10 cm.

Q7: A furlong is a unit of length used in horse racing; it equals one-eighth of a mile. To the nearest tenth, how many metres are equal to a furlong if 1.609 km equals a mile?
Ans:
Given,
1.609 km = 1 mile
That means 1609 m = 1 mile
Also, one furlong = one-eighth of a mile
= (1/8) × 1.609 km
= (1/8) × 1609 m
= 201.125
= 201.1 m (approx)

Q8: One inch equals 2.54 centimetres. How many centimetres tall is an 84-inch door?
Ans:
Given,
1 inch = 2.54 cm
84 inch = ?
84 inch = 84 × 2.54 cm
= 213.36 cm
Thus, the door is 213.36 cm tall.

Q9: A tabletop measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the tabletop?
Ans:
We know that,
1 m = 100 cm
1 cm = 0.01 m
Length of tabletop = 2 m 25 cm = 2.25 m
Breadth of tabletop = 1 m 50 cm = 1.50 m
Perimeter of tabletop = 2 (Length + Breadth)
= 2 (2.25 + 1.50)
= 2 (3.75)
= 2 × 3.75
= 7.5 m
Therefore, the perimeter of the tabletop is 7.5 m.

Q10: The weight of a rice packet is 40 kg 360 g. What is the total weight of 6 rice packets of the same weight?
Ans:
Given,
Weight of a rice packet = 40 kg 360 g
Number of rice packets = 6
Total weight = 6 × weight of one rice packet
= 6 × (40 kg 360 g)
= (6 × 40) kg (6 × 360) g
= 240 kg 2160 g
= 240 kg (2000 + 160) g
= (240 + 2) kg 160 g
= 242 kg 160 g
Thus, the total weight of 6 rice packets = 242 kg 160 g.