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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

Calculator allowed

Two demonstration solids are cuboids

Solid A: length 5 cm, width 10 cm, height 6 cm. Solid B: length 18 cm, width 30 cm, height 18 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

Check every B-to-A linear ratio, then select the supported similarity statement

(b)1 mark

What linear scale factor is shown by the matching width measurements?

Format: Exact number or fraction
(c)1 mark

What is the B-to-A volume factor for a similar redesign using \(k\)?

Format: Exact number or fraction