Box A has internal dimensions $2\text{ cm}\times3\text{ cm}\times4\text{ cm}$. Box B has internal

Question

Box A has internal dimensions $2\text{ cm}\times3\text{ cm}\times4\text{ cm}$. Box B has internal dimensions $4\text{ cm}\times6\text{ cm}\times4\text{ cm}$. A pupil says, “Two lengths doubled, so B has eight times the capacity of A.” Calculate the capacity of each box and the actual capacity ratio A : B.[2] Explain why the cube scale law does not apply to these two boxes.[1]

Accepted Answer

(a) $24\text{ cm}^3,96\text{ cm}^3$; $1:4$. (b) The three length factors are not equal.

Checking whether a scale law applies

Checking whether a scale law applies

Solution:

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