Easy Level Worksheet

Part A: Subjective Questions - Very Short Answer (1 Mark Each)

Surface area measures the total area of all surfaces of a 3D object, while volume measures the space it occupies.

Let's start by learning the basic formulas for cubes, cuboids, and cylinders.

1. Write the formula for the surface area of a cube.

Surface area = 6a²4a², where a is the side length

Perfect! A cube has 6 faces, each with area a², so total = 6a².

2. What is the formula for the volume of a cuboid?

Volume = l × b × hl + b + h

Excellent! Volume = length × breadth × height.

3. Define lateral surface area.

Lateral surface area is the area of all side faces excluding top and bottomthe total area.

Correct! It's the area of vertical surfaces only.

4. Write the formula for the volume of a cylinder.

Volume = πr²h2πrh

Great! Volume of cylinder = π × radius² × height.

5. Write the unit of surface area.

Unit = cm²cm³ (or m², mm², etc.)

Perfect! Surface area is measured in square units.

Drag each formula to its correct shape:

Part A: Section B – Short Answer Questions (2 Marks Each)

1. Find the total surface area of a cube of side 7 cm.

Formula: TSA = 6a² = 6 × ()²

= 6 × = cm²

Excellent! Total surface area = 294 cm².

2. A cuboid has length 10 cm, breadth 6 cm, and height 4 cm. Find its volume.

Formula: Volume = l × b × h

= × ×

= cm³

Perfect! Volume = 240 cm³.

3. Find the lateral surface area of a cube of side 5 cm.

Lateral surface area = 4a² (4 side faces)

= 4 × ()² = 4 ×

= cm²

Great! Lateral surface area = 100 cm².

4. The diameter of a cylinder is 14 cm and height is 10 cm. Find its volume (use π = 3.14).

Diameter = 14 cm, so radius = cm

Volume = πr²h = 3.14 × ² ×

= 3.14 × 49 × 10 = cm³

Excellent! Volume ≈ 1538.6 cm³.

5. Find the volume of a cube whose edge is 9 cm.

Volume = a³ = ()³

= cm³

Perfect! Volume = 729 cm³.

Part B: Objective Questions - Test Your Knowledge!

Answer these multiple choice questions:

6. Volume of a cylinder =

(a) πr²h (b) 2πr²h (c) πrh (d) None

Correct! Volume = π × radius² × height.

7. If side of cube = 2 cm, then its volume =

(a) 4 cm³ (b) 6 cm³ (c) 8 cm³ (d) 12 cm³

Perfect! Volume = 2³ = 8 cm³.

8. The shape of an oil tin is usually:

(a) Cube (b) Cuboid (c) Cylinder (d) Cone

Excellent! Oil tins are cylindrical in shape.

9. Lateral surface area of a cylinder =

(a) 2πr² (b) 2πrh (c) πr²h (d) πrh²

Perfect! LSA = 2πrh (curved surface area).

10. If r = 7 cm, h = 14 cm, volume of cylinder =

(a) 2156 cm³ (b) 4312 cm³ (c) 2156π cm³ (d) 4312π cm³

Correct! V = πr²h = π × 49 × 14 = 686π ≈ 2154.04 cm³. Answer (a) is closest when π ≈ 3.14.

🎉 Fantastic Work! You've Mastered Basic Surface Area and Volume!

Here's what you learned:

• Key Formulas:

  CUBE (side = a)

  • Total Surface Area: 6a²
  • Lateral Surface Area: 4a²
  • Volume: a³

  CUBOID (length = l, breadth = b, height = h)

  • Total Surface Area: 2(lb + bh + hl)
  • Lateral Surface Area: 2(l + b)h
  • Volume: l × b × h

  CYLINDER (radius = r, height = h)

  • Total Surface Area: 2πr² + 2πrh = 2πr(r + h)
  • Curved/Lateral Surface Area: 2πrh
  • Volume: πr²h

• Units:

  • Surface Area: cm², m², mm²
  • Volume: cm³, m³, litres (1 litre = 1000 cm³)

• Important Points:

  • Diameter = 2 × radius
  • Lateral surface area excludes top and bottom faces
  • Volume measures capacity (how much space inside)
  • Surface area measures total outer covering

• Problem-Solving Steps:

  1. Identify the shape
  2. Note given dimensions
  3. Choose appropriate formula
  4. Substitute values
  5. Calculate and write units

Understanding these formulas helps in real-world applications like painting, packaging, and construction!