Area, Perimeter and Volume | Math Olympiad for Class 5 PDF Download

Q1. A rectangular garden has a length of 12 m and a breadth of 8 m. How much fencing is needed to go around it?
(a) 40 m
(b) 36 m
(c) 20 m
(d) 48 m
Ans: (a) 40 m

Perimeter of a rectangle = 2 × (length + breadth) = 2 × (12 + 8) = 2 × 20 = 40 m.

Q2. A square picture frame has a side of 15 cm. What is the total length of wood needed to make the frame?
(a) 45 cm
(b) 60 cm
(c) 30 cm
(d) 75 cm
Ans: (b) 60 cm

Perimeter of a square = 4 × side = 4 × 15 = 60 cm.

Q3. A rectangular room has a perimeter of 34 m. If its length is 10 m, what is its breadth?
(a) 7 m
(b) 8 m
(c) 6 m
(d) 9 m
Ans: (a) 7 m

Perimeter = 2 × (length + breadth). 
So, 34 = 2 × (10 + breadth).
⇒ 10 + breadth = 34 ÷ 2 = 17. 
Breadth = 17 - 10 = 7 m.

Q4. A square mat has an area of 25 cm². What is the length of one side?
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm
Ans: (b) 5 cm

Area of a square = side × side. 
So, side = √25 = 5 cm.

Q5. A rectangular table has a length of 6 m and a breadth of 4 m. How much cloth is needed to cover it completely?
(a) 24 m²
(b) 20 m²
(c) 18 m²
(d) 28 m²
Ans: (a) 24 m²

Area of a rectangle = length × breadth = 6 × 4 = 24 m².

Q6. A cube-shaped box has a side of 3 cm. How much space is inside the box?
(a) 9 cm³
(b) 18 cm³
(c) 27 cm³
(d) 12 cm³
Ans: (c) 27 cm³

Volume of a cube = side × side × side = 3 × 3 × 3 = 27 cm³.

Q7. A rectangular fish tank is 5 m long, 2 m wide, and 3 m high. What is its volume?
(a) 30 m³
(b) 25 m³
(c) 20 m³
(d) 35 m³
Ans: (a) 30 m³

Volume of a cuboid = length × breadth × height = 5 × 2 × 3 = 30 m³.

Q8. A square park has a perimeter of 48 m. What is its area?
(a) 144 m²
(b) 100 m²
(c) 121 m²
(d) 169 m²
Ans: (a) 144 m²

Side of the square = Perimeter ÷ 4 = 48 ÷ 4 = 12 m.
Area = side × side = 12 × 12 = 144 m².

Q9. A cuboidal water tank has a volume of 60 cm³. If its length is 5 cm and breadth is 4 cm, what is its height?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm
Ans: (b) 3 cm

Volume of a cuboid = length × breadth × height. So, 60 = 5 × 4 × height.
Height = 60 ÷ (5 × 4) = 60 ÷ 20 = 3 cm.

Q10. A rectangular container is 10 cm long, 5 cm wide, and 4 cm high. How many liters of water can it hold when full?
(a) 0.2 L
(b) 0.3 L
(c) 0.1 L
(d) 0.4 L
Ans: (a) 0.2 L

Volume = length × breadth × height = 10 × 5 × 4 = 200 cm³.
Since 1000 cm³ = 1 L, capacity = 200 ÷ 1000 = 0.2 L.