A cubical box has each edge 10, cm and anothe | vedclass

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Question

(C) Lateral surface area of a cube $= 4 	imes (	ext{edge})^2$.Given edge of the cube $= 10\, cm$.Lateral surface area of the cubical box $= 4 	imes

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Lateral surface area of a cube $= 4 	imes (	ext{edge})^2$.Given edge of the cube $= 10\, cm$.Lateral surface area of the cubical box $= 4 	imes (10\, cm)^2 = 4 	imes 100\, cm^2 = 400\, cm^2$.Lateral surface area of a cuboid $= 2 	imes h 	imes (l + b)$.Given length $(l) = 12.5\, cm$,breadth $(b) = 10\, cm$,and height $(h) = 8\, cm$.Lateral surface area of the cuboidal box $= 2 	imes 8\, cm 	imes (12.5\, cm + 10\, cm) = 16\, cm 	imes 22.5\, cm = 360\, cm^2$.Comparing the two areas,$400\, cm^2 > 360\, cm^2$.The cubical box has a greater lateral surface area.The difference is $400\, cm^2 - 360\, cm^2 = 40\, cm^2$.

$A$ cubical box has each edge $10\, cm$ and another cuboidal box is $12.5\, cm$ long,$10\, cm$ wide and $8\, cm$ high. Which box has the greater lateral surface area and by how much (in $, cm^2$)?

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