3D Pythagoras (Edexcel GCSE Maths): Quizzes

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3D Pythagoras
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What is the space diagonal in a 3D shape?

Longest line through interior of shape

What is the formula for 3D Pythagoras?

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

In a2+b2+c2=d2a^2 + b^2 + c^2 = d^2, what do aa, bb, and cc represent?

Three perpendicular edges of a cuboid

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

The space diagonal

How is the 3D Pythagoras formula derived?

2D Pythagoras applied twice

In deriving 3D Pythagoras, what is the first step?

Find base diagonal using e2=a2+b2e^2=a^2+b^2

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

434\sqrt{3} cm

What is the key advantage when working with cubes?

Only need one measurement

For a cube with 4 cm sides, what is BH2BH^2 before taking the square root?

48

In the pyramid example, what are the two equal perpendicular dimensions used?

3.5 cm (half base side)

What is the first step in solving any 3D Pythagoras problem?

Identify the shape

How many steps are in the recommended problem-solving strategy?

5

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