5.3

Surface area

10 flashcards to master Surface area

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Definition Flip

Define 'surface area'.

Answer Flip

Surface area is the total area of all the faces or surfaces of a 3D object. It is measured in square units (

Example: cm², m²).
Key Concept Flip

What is a 'net' and how is it related to surface area?

Answer Flip

A net is a 2D pattern that can be folded to form a 3D shape. To find the surface area, calculate the area of each part of the net and add them together.

Key Concept Flip

A cube has sides of length 5cm. Calculate its surface area.

Answer Flip

A cube has 6 identical square faces. Surface area = 6 * (side * side) = 6 * (5cm * 5cm) = 150cm².

Key Concept Flip

A cuboid has dimensions 3cm x 4cm x 5cm. Calculate its surface area.

Answer Flip

Surface area = 2(lw + lh + wh) = 2((3*4) + (3*5) + (4*5)) = 2(12 + 15 + 20) = 2(47) = 94cm².

Key Concept Flip

Describe how to find the surface area of a triangular prism.

Answer Flip

Calculate the area of the two triangular faces and the three rectangular faces. Then, add all the areas together to find the total surface area.

Key Concept Flip

A cylinder has radius 4cm and height 10cm. Calculate its surface area.

Answer Flip

Surface area = 2πr² + 2πrh = 2π(4²) + 2π(4)(10) = 32π + 80π = 112π ≈ 351.9cm².

Definition Flip

What is the formula for the surface area of a sphere with radius 'r'?

Answer Flip

The surface area of a sphere is given by the formula: 4πr², where r is the radius of the sphere.

Key Concept Flip

Answer Flip

Key Concept Flip

Answer Flip

Key Concept Flip

Give a real-world example where calculating surface area is important.

Answer Flip

Calculating the amount of paint needed to cover a wall, or the amount of material needed to construct a box, are practical applications of surface area calculation.

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5.2 Circles - circumference and area 5.4 Volume

Key Questions: Surface area

Define 'surface area'.

Surface area is the total area of all the faces or surfaces of a 3D object. It is measured in square units (

Example: cm², m²).
What is the formula for the surface area of a sphere with radius 'r'?

The surface area of a sphere is given by the formula: 4πr², where r is the radius of the sphere.

About Surface area (5.3)

These 10 flashcards cover everything you need to know about Surface area for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

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