The-Object-shown-in-the-diagram-is-made-by-gluing-together-the-adjacent-faces-of-six-wooden-cubes-each-having-edges-of-length-2-cm-Find-the-total-surface-area-of-the-object-in-square-centimetres-

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Question Number 16938 by Tinkutara last updated on 28/Jun/17

$$\mathrm{The}\mathrm{Object}\mathrm{shown}\mathrm{in}\mathrm{the}\mathrm{diagram}\mathrm{is}$$$$\mathrm{made}\mathrm{by}\mathrm{gluing}\mathrm{together}\mathrm{the}\mathrm{adjacent}$$$$\mathrm{faces}\mathrm{of}\mathrm{six}\mathrm{wooden}\mathrm{cubes},\mathrm{each}\mathrm{having}$$$$\mathrm{edges}\mathrm{of}\mathrm{length}2\mathrm{cm}.\mathrm{Find}\mathrm{the}\mathrm{total}$$$$\mathrm{surface}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{object}\mathrm{in}\mathrm{square}$$$$\mathrm{centimetres}.$$

Commented by Tinkutara last updated on 28/Jun/17

Commented by mrW1 last updated on 07/Jul/17

$$\mathrm{i}\mathrm{see}\mathrm{in}\mathrm{this}\mathrm{picture}\mathrm{each}\mathrm{time}\mathrm{something}$$$$\mathrm{different}.\mathrm{it}\mathrm{changes}\mathrm{when}\mathrm{i}\mathrm{look}\mathrm{at}\mathrm{it}.$$$$\mathrm{i}\mathrm{see}\mathrm{no}\mathrm{cubes}.$$

Answered by ajfour last updated on 28/Jun/17

$$\mathrm{A}={4\mathrm{cm}}^2$$$$\mathrm{if}\mathrm{not}\mathrm{glued}\mathrm{together}$$$${\mathrm{A}}_{\mathrm{T}}=6\times 6\times \mathrm{A}$$$$\mathrm{when}\mathrm{glued}\mathrm{as}\mathrm{shown}$$$$\mathrm{surface}\mathrm{area}\mathrm{S}={\mathrm{A}}_{\mathrm{T}}-2\times 5\mathrm{A}$$$$\mathrm{S}=26\mathrm{A}=26\times {4\mathrm{cm}}^2={104\mathrm{cm}}^2.$$

Commented by Tinkutara last updated on 28/Jun/17

$$\mathrm{Thanks}\mathrm{Sir}!$$

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