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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.
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FAQs on Area, Perimeter and Volume - Math Olympiad for Class 5
| 1. What is the formula for calculating the area of a rectangle? |  |
| 2. How do you find the perimeter of a square? | |
Ans.To find the perimeter of a square, you can use the formula P = 4 × Side Length. This means you multiply the length of one side of the square by 4.
| 3. What is the difference between area and perimeter? | |
Ans.Area measures the space inside a shape, expressed in square units, while perimeter measures the distance around the shape, expressed in linear units. For example, the area of a rectangle shows how much surface it covers, while the perimeter shows how long the boundary is.
| 4. How do you calculate the volume of a cube? | |
Ans.The volume of a cube can be calculated using the formula Volume = Side Length × Side Length × Side Length, or V = Side Length³. This means you multiply the length of one side by itself three times.
| 5. Why is understanding area, perimeter, and volume important? | |
Ans.Understanding area, perimeter, and volume is essential because these concepts are used in everyday life, such as in construction, gardening, and packing. They help us determine how much space something occupies, how much material we need, and how to optimize the use of space.
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Apr 24, 2025
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