Question

A closed wooden box measures externally 10 cm long,8 cm broad andd 6 cm high.thickness of wood is 0.5 cm.find the volume of wood used.?
a)230 cubic cm b) 165 cubic cm
c) 330 cubic cm d) none of these

Answer 1

External dimensions - 10 * 8* 6 cm3

Thickness is 0.5cm

Internal dimensions - 9 * 7 * 5

Vol of box = LBH - lbh

480 - 3 15

=165 cubic cm

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Answer 2

$external \: dimension \: \\ l = 10 \: cm \: \\ b = 8 \: cm \: \\ h = 6 \: cm \\ external \: volume = 480 {cm}^{2} \\ internal \: dimension \: \\ l = 10 - 1 = 9 \\ b = 8 - 1 = 7 \\ h = 6 - 1 = 5 \\ internal \: volume = 315 \: {cm}^{2} \\ volume \: of \: wood = 480 - 315 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 165 {cm}^{2}$