3D Shapes — Volume (AQA GCSE Maths): Quizzes

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3D shapes — Volume
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Why is volume always measured in cubic units like cm3\text{cm}^3 or m3\text{m}^3?

Because we're measuring 3D space

What is the volume formula for any prism?

V=A×LV = A \times L

Why is a cylinder considered a special type of prism?

Its cross-section is a circle

What is the volume formula for a sphere?

V=43πr3V = \frac{4}{3}\pi r^3

What is the volume formula for a hemisphere?

V=23πr3V = \frac{2}{3}\pi r^3

Why do pyramids and cones have a 13\frac{1}{3} factor in their volume formulas?

Volume is 1/3 of equivalent prism/cylinder

Which height should you use when calculating the volume of a cone?

Vertical (perpendicular) height

How do you calculate the volume of a frustum?

Original cone volume - removed cone volume

How many cm3\text{cm}^3 are in 1 litre?

1000 cm3\text{cm}^3

What is the relationship between mass, density, and volume?

mass=density×volume\text{mass} = \text{density} \times \text{volume}

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