CBSE Class 5 Mathematics Volume And Nets Worksheet Set 02

Fill in the blanks.

Question 1. The amount of space occupied by an object is called its ________
Answer: volume
In simple words: Volume is the total space taken up by a 3D object.

Exam Tip: Remember that space occupied is always termed as volume, whereas boundary length is perimeter and surface area is region covered.

Question 2. Volume is measured in ________ units.
Answer: cubic
In simple words: We use cubic units like cubic cm or cubic m to measure 3D space.

Exam Tip: Area uses square units, while volume uses cubic units.

Question 3. A box can hold 50 one cm cubes. Its volume is ________
Answer: \(50\text{ cu cm}\)
In simple words: Since each cube has a volume of \(1\text{ cu cm}\), 50 cubes make \(50\text{ cu cm}\).

Exam Tip: Count the number of unit cubes to find the total volume of any packed box.

Question 4. 1 cu cm = ________ ml.
Answer: 1
In simple words: One cubic centimeter of space holds exactly one milliliter of liquid.

Exam Tip: Keep this conversion in mind: \(1\text{ cu cm} = 1\text{ ml}\) and \(1000\text{ cu cm} = 1\text{ litre}\).

Question 5. The net of a ________ has 2 circles and a rectangle.
Answer: cylinder
In simple words: When you open up a cylinder flat, you get one long rectangle and two circular ends.

Exam Tip: Visualizing nets helps you identify 3D shapes quickly from 2D drawings.

Question 6. When a stone is dropped in water, the level of water risen to 10 ml. The volume of the stone is ________
Answer: \(10\text{ ml}\) (or \(10\text{ cu cm}\))
In simple words: The amount of water pushed up equals the volume of the stone.

Exam Tip: Water displacement method is standard for finding the volume of irregular solid objects.

Question 7. Volume of a cube of side 3 cm is ________
Answer: \(27\text{ cu cm}\)
In simple words: Multiply side by side by side: \(3\text{ cm} \times 3\text{ cm} \times 3\text{ cm} = 27\text{ cu cm}\).

Exam Tip: Formula for volume of a cube is \(\text{side} \times \text{side} \times \text{side}\).

Question 8. The area of a box is 18 sq cm and its height is 2 cm. Then its volume is ________
Answer: \(36\text{ cu cm}\)
In simple words: Multiply base area by height: \(18 \times 2 = 36\text{ cu cm}\).

Exam Tip: Volume = Area of base \(\times\) height.

Question 9. In a cube length breadth and height are ________
Answer: equal
In simple words: All sides of a cube have the exact same length.

Question 10. ________ is the unit of measuring the volume
a. 1 cm
b. 1 cm²
c. 1 cm³
Answer: (c) 1 cm³
In simple words: Cubic centimeter (\(1\text{ cm}^3\)) is the standard unit for volume.

Exam Tip: cm is for length, cm² is for area, and cm³ is for volume.

Write True or False.

Question 1. An empty Pepsi can and a filled Pepsi can will have the same volume. (   )
Answer: True
In simple words: The physical container size (capacity/volume) remains the same whether it is full or empty.

Exam Tip: The space occupied by the can itself does not change with its contents.

Question 2. A cuboid has 3 rectangular faces and 4 square faces in all. (   )
Answer: False
In simple words: A standard cuboid has 6 rectangular faces.

Exam Tip: All 6 faces of a cuboid are rectangles (though opposite faces are identical).

Question 3. To fill a water bottle ,we should find the area of the bottle. (   )
Answer: False
In simple words: To fill a bottle, we need to know its volume or capacity, not its area.

Exam Tip: Capacity and volume deal with 3D space inside a container.

Question 4. The net of a cuboid has 6 rectangles. (   )
Answer: True
In simple words: Unfolding a cuboid gives 6 rectangular regions.

Exam Tip: Every cuboid net consists of 6 rectangles arranged in pairs of identical shapes.

Question 5. The volume of object that makes the level of water rise by 96ml is 96cu.m (   )
Answer: False
In simple words: It is \(96\text{ cu cm}\) (or \(96\text{ ml}\)), not \(96\text{ cu m}\) which is extremely huge.

Exam Tip: Pay close attention to units (\(\text{cm}^3\) vs \(\text{m}^3\)).

Question 6. A m cube is used to measure very small objects. (   )
Answer: False
In simple words: Cubic meter (\(\text{m}^3\)) is used for very large objects, while cubic centimeter (\(\text{cm}^3\)) is for small objects.

Exam Tip: Match the unit size with the object size.

Question 7. The net of a cube has 6 squares. (   )
Answer: True
In simple words: A cube has 6 identical square faces, so its net has 6 squares.

Exam Tip: A cube net can be arranged in several valid cross or T-shapes.

Question 8. The opened shapes are called nets. (   )
Answer: True
In simple words: A net is a 2D pattern that can be folded to make a 3D shape.

Exam Tip: Definition of a net in geometry.

Question 9. The volume of a cube of side 2cm is 6 cm. (   )
Answer: False
In simple words: Volume is \(2 \times 2 \times 2 = 8\text{ cu cm}\), not \(6\text{ cm}\).

Exam Tip: Never add side lengths when calculating volume; always multiply length \(\times\) breadth \(\times\) height.

IV. Answer the following.

Question 1. 18 marbles can push up 20 ml of water. Find the volume of:
a) 36 marbles.
b) 9 marbles.
Answer:
a) For 36 marbles:
Since 36 is twice of 18 (\(36 = 18 \times 2\)), the water displaced will be twice as much.
Volume = \(20\text{ ml} \times 2 = 40\text{ ml}\) (or \(40\text{ cu cm}\))

b) For 9 marbles:
Since 9 is half of 18 (\(9 = 18 \div 2\)), the water displaced will be half as much.
Volume = \(20\text{ ml} \div 2 = 10\text{ ml}\) (or \(10\text{ cu cm}\))
In simple words: More marbles push up more water proportionally.

Exam Tip: Use unitary method or proportional reasoning for marble displacement problems.

Question 2. 6 students of class five got full marks in math. So the math teacher bought 6 gifts for them. If each box is 8cm long, 6cm broad, 2 cm high, find the volume of all 6 gift boxes.
Answer:
Length of one box = \(8\text{ cm}\)
Breadth of one box = \(6\text{ cm}\)
Height of one box = \(2\text{ cm}\)
Volume of one box = \(\text{length} \times \text{breadth} \times \text{height}\)
\(= 8\text{ cm} \times 6\text{ cm} \times 2\text{ cm}\)
\(= 96\text{ cu cm}\)

Volume of all 6 gift boxes = \(96\text{ cu cm} \times 6\)
\(= 576\text{ cu cm}\)
In simple words: First find the volume of one box, then multiply by 6 for the total volume of all boxes.