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Question P6 Work backwards from volume or area

Cuboid height — volume 480 cm³

A cuboid has volume 480 cm³, length 15 cm and width 8 cm. Find its height.

A cuboid of volume 480 cm³. Drawing is not to scale.depth 8 cm15 cmh = ?
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Answer

4 cm

About this method

Work backwards from volume or area

Use the known area or volume to find the missing measurement.

In this one. Volume is the area of one layer multiplied by the height. Divide by the base area to find the missing height.

Volume = base area x heightvolume360 cubic centimetreslayer60 per 1 cm; height = 6 cm

How to spot it

The question gives a cuboid's volume with two dimensions and asks for the third, or gives the volume with one length and asks for a face area. A square's area given with its side asked for belongs here too.

Common mistake

Children divide the volume by a length lying inside the face they want, instead of the length that runs into it, and get the wrong kind of measurement.

Practise a similar question

Standard A square has area 100 cm². Write its side length using square-root notation, then evaluate it.
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