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Question 58 of 105 in Unit 9

Shape and Space 9

3 marks · Easy

The table below shows the lengths (in cm) of the edges of three different cuboids.

Edge lengths of cuboids (in cm)
CuboidLengthWidthHeight
A439
B652
C873

Work out the length of the longest space diagonal for each cuboid, giving your answers to 1 decimal place.

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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Must show: Correct calculation for each cuboid

Common mistakes: Forgetting to square all three dimensions; Incorrect rounding

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Marking points

A1 · 1 mark · Cuboid A correct diagonal, 10.1 cm

A2 · 1 mark · Cuboid B correct diagonal, 8.4 cm

A3 · 1 mark · Cuboid C correct diagonal, 11.1 cm

Worked solution

Calculated diagonals
CuboidCalculationDiagonal (cm, 1 d.p.)
A10.3
B8.1
C11.0
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