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Mensuration: Areas and Volumes · Question 35 of 68

Question 35

MediumOriginal question

A packing box is 20 cm long, 14 cm wide and 8 cm high. How many whole cubes of edge 4 cm can be packed inside it?

30Correct answerYour answer35Correct answerYour answer40Correct answerYour answer70Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Along the length $20 \div 4 = 5$ cubes, along the height $8 \div 4 = 2$ cubes.
Along the width $14 \div 4 = 3.5$ , so only 3 whole cubes fit.
Cubes = $5 \times 3 \times 2 = 30$ .

Worth noting

Dividing volumes $(2{,}240 \div 64 = 35)$ assumes the cubes can be cut. When one edge does not divide exactly, count along each edge.

Concept: Packing whole cubes: count along each edge
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsCubes and cuboids

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