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Similar solids and scaling volume

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
Cuboids; surface area scalingCuboids; volume scalingNOWMix of allRecommended
Question 1 of 8

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Solid A and solid B are cuboids in a set of fabrication samples

Solid A: length 8 cm, width 6 cm, height 14 cm. Solid B: length 32 cm, width 24 cm, height 56 cm. Each measurement names the corresponding linear role shown

Solid A. Solid A and Solid B are cuboids. Corresponding dimensions are labelled. The panels use separate drawing scales; compare the measurements.lwhSolid ASolid B. Solid A and Solid B are cuboids. Corresponding dimensions are labelled. The panels use separate drawing scales; compare the measurements.lwhSolid B
Separate drawing scales. Compare corresponding measurements, not the displayed sizes
(a)1 mark

Decide whether the two solids are similar. Choose the statement justified by all corresponding dimensions

(b)1 mark

Find the B-to-A ratio for the height. State it as \(k\)

Format: Exact number or fraction
(c)1 mark

For a similar redesign using the proposed \(k\), determine the exact factor that would scale volume

Format: Exact number or fraction