5.4

Volume

9 flashcards to master Volume

Smart Spaced Repetition

Rate each card Hard, Okay, or Easy after flipping. Your progress is saved and cards are scheduled for optimal review intervals.

Definition Flip

Define volume. What units are commonly used for volume?

Answer Flip

Volume is the amount of space occupied by a three-dimensional object. Common units include cubic centimetres (cm³) and cubic metres (m³). Note that 1 litre = 1000 cm³.

Key Concept Flip

State the formula for the volume of a cuboid.

Answer Flip

Volume of a cuboid = length × width × height, or V = lwh.

Example: a cuboid with length 5cm, width 3cm, and height 2cm has a volume of 30cm³.
Key Concept Flip

State the formula for the volume of a cylinder.

Answer Flip

Volume of a cylinder = πr²h, where r is the radius of the circular base and h is the height. A cylinder with radius 4cm and height 10cm has a volume of π(4²)(10) ≈ 502.65 cm³.

Key Concept Flip

State the formula for the volume of a sphere.

Answer Flip

Volume of a sphere = (4/3)πr³, where r is the radius of the sphere. A sphere with radius 3cm has a volume of (4/3)π(3³) ≈ 113.10 cm³.

Key Concept Flip

State the formula for the volume of a right pyramid with a square base.

Answer Flip

Volume of a pyramid = (1/3) × base area × height = (1/3)l²h, where l is the side length of the square base and h is the perpendicular height. For

Example: A pyramid with a 4cm x 4cm base and height 6cm has a volume of 32cm³.
Key Concept Flip

State the formula for the volume of a cone.

Answer Flip

Volume of a cone = (1/3)πr²h, where r is the radius of the circular base and h is the perpendicular height. A cone with radius 2cm and height 5cm has a volume of (1/3)π(2²)(5) ≈ 20.94 cm³.

Key Concept Flip

A rectangular tank is 2m long, 1.5m wide, and 1m high. How many litres of water can it hold when full?

Answer Flip

Volume = lwh = 2m × 1.5m × 1m = 3m³. Since 1 m³ = 1000 litres, the tank can hold 3 × 1000 = 3000 litres.

Key Concept Flip

A cylinder has a volume of 500 cm³ and a height of 10 cm. What is the radius of its base?

Answer Flip

Using the formula V = πr²h, we have 500 = πr²(10). Solving for r, we get r² = 500/(10π) ≈ 15.92. Therefore, r ≈ √15.92 ≈ 3.99 cm.

Definition Flip

Answer Flip

Test yourself

Practice with MCQ questions to check your understanding.

Take Quiz
5.3 Surface area 6.1 Trigonometric ratios

Key Questions: Volume

Define volume. What units are commonly used for volume?

Volume is the amount of space occupied by a three-dimensional object. Common units include cubic centimetres (cm³) and cubic metres (m³). Note that 1 litre = 1000 cm³.

About Volume (5.4)

These 9 flashcards cover everything you need to know about Volume for your Cambridge IGCSE Mathematics (0580) exam. Each card is designed based on the official syllabus requirements.

What You'll Learn

How to Study Effectively

Use the Study Mode button above to test yourself one card at a time. Try to answer each question before flipping the card. Review cards you find difficult more frequently.

Continue Learning

After mastering Volume, explore these related topics: