3D Pythagoras (AQA GCSE Maths): Quizzes

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3D Pythagoras
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What is the formula for the 3D Pythagoras theorem?

a2+b2+c2=d2a^2 + b^2 + c^2 = d^2

In the formula a2+b2+c2=d2a^2 + b^2 + c^2 = d^2, what does dd represent?

The space diagonal

How many times is the 2D Pythagoras theorem applied to derive the 3D formula?

Twice in succession

What is the space diagonal?

Longest distance inside shape

What property makes calculating the space diagonal of a cube straightforward?

All sides are equal

What is the exact space diagonal of a cube with 4cm sides?

434\sqrt{3} cm

What is the first step formula when deriving the 3D Pythagoras theorem?

e2=a2+b2e^2 = a^2 + b^2

What is the key to using the formula with other 3D shapes like pyramids?

Visualise the problem as a cuboid

According to exam strategy tips, what should you identify first?

Measurements you have & need to find

Can the 3D Pythagoras theorem be applied beyond perfect cuboids?

Yes, to any 3D problem

Explore AQA GCSE Maths Revision Notes by Topics

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Explore AQA GCSE Maths Model Answers by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Explore AQA GCSE Maths Flashcards by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Explore AQA GCSE Maths Exam Questions by Topics

Pythagoras’ Theorem

Trigonometry — Sin, Cos, Tan

Trigonometry — Examples

Trigonometry — Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

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