EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Mensuration: Areas and Volumes · Question 31 of 68

Question 31

EasyOriginal question

A room is 12 m long, 9 m wide and 8 m high. What is the length of the longest straight pole that can fit inside it?

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The longest pole runs along the room's diagonal: l2+b2+h2\sqrt{l^2 + b^2 + h^2}.

  2. = 144+81+64=289=17\sqrt{144 + 81 + 64} = \sqrt{289} = 17 m.

Worth noting

15 m is only the diagonal of the floor. Tilting the pole up to the far top corner gives more room.

Concept
Diagonal of a cuboid
Typical time
40 s
Your time
—
The rule this testsCubes and cuboids
Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.

Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.