Cube numbers

1 a) Fit8multilinkcubestogethertomakealargercube.

b) Isitpossibletofit9multilinkcubestogethertomake

alargercube?

Explainyouranswer.

2 Filipmakesacubeusingsomesmallercubes.

a) Howmanycubesmakeupthiscube?

b) Howdidyouworkoutthenumberofcubes?

c) Thisnumberisanexampleofacubenumber.

Whydoyouthinkitisacubenumber?

3 a) Completethetableofcubednumbers.

23 2×2×2 8

33 3×3×3

43 4×4×4

b) Whatwouldthenextcubenumberinthetablebe?

3

= × × =

4 Completethestatements.

Usethecubestohelpyou.

a) 53= b) 103=

5cubed= 10cubed=

5×5×5= 10×10×10=

©WhiteRoseMaths2019

©WhiteRoseMaths2019

5 a) Whichcalculationisthesameas63?

Tickyouranswer.

6×3 6+6+6 6×6×6

b) Kimhasworkedout63usingthismethod.

63 = (6 × 6) × 6

= 36 × 6

= 216

IsKim’smethodcorrect?

Howdoyouknow?

c) Matchthecubenumberstothecalculations.

Onehasbeendoneforyou.

43 4×2

53 9×3

23 16×4

33 25×5

6 Calculate73

7

WhatmistakehasDoramade?

Whymightshehavemadethismistake?

8 Scott’sageisacubenumber.

Hissisteris2yearsyoungerthanhim.

Herageisasquarenumber.

In3years,Scott’sagewillbeamultipleof10

HowoldisScott?

Scottis yearsold.

13 is 1, and 33 is 9

630 6

30 × 6 = 180 6 × 6 = 36180 + 36 = 216