Question

A box is made of wood with its external dimension of 5cm,24cm,12cm and thickness of 20cm . What is the storage capacity of wooden box and how much wood was used to make it.

Answer 1

$\mathbb{\pink{\huge{Hello\:Mate!!!}}}$

$<b><u>Answer</u></b>$

$<b>Volume of cuboidal box = LBH</b>$

Volume of cuboidal box = 24cm×12cm×5cm

Volume of cuboidal box = $5,040cm^3$

$<b>But the given thickness = 20cm</b>$

Therefore, the volume of the cuboidal box = LBH - thickness

The volume of the cuboidal box = $5,040cm^3 - 20cm$

The volume of cuboidal box = $5,020cm^3$

Therefore, the storage capacity of the cuboidal box is $5,020cm^3$

$<b>Curved Surface Area = 2(LB+BH+HL)</b>$

Curved Surface Area = 2[(24cm×12cm) +(12cm×5cm) × (5cm×24cm)]

Curved Surface Area = $2(288cm^2 +60cm^2 + 120cm^2)$

$2(468cm^2)$

$528cm^2$

$\bold{Therefore,\:528cm{}^{2}\:wood\:was\: used\:to\:make\:the\: cuboidal\:box.}$

Thanks....!

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