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(A) Since Mary wants to paste the paper on the outer surface of the box,the quantity of paper required is equal to the total surface area of the box,w

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) Since Mary wants to paste the paper on the outer surface of the box,the quantity of paper required is equal to the total surface area of the box,which is in the shape of a cuboid.The dimensions of the box are: Length $(l)$ = $80 \, cm$,Breadth $(b)$ = $40 \, cm$,Height $(h)$ = $20 \, cm$.The total surface area of the cuboid = $2(lb + bh + hl)$.Surface area = $2[(80 	imes 40) + (40 	imes 20) + (20 	imes 80)] \, cm^2$.Surface area = $2[3200 + 800 + 1600] \, cm^2$.Surface area = $2 	imes 5600 \, cm^2 = 11200 \, cm^2$.The area of each square sheet of paper = side $	imes$ side = $40 \, cm 	imes 40 \, cm = 1600 \, cm^2$.The number of sheets required = (Total surface area of the box) / (Area of one sheet of paper).Number of sheets = $11200 / 1600 = 7$.Therefore,she would require $7$ sheets.

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