Question

Length =20cm, b=12cm, h=8cm of a closed wooden box. Thickness of wood is 10mm.Find volume of wood

Answer 1

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Given

Outer length = 10 cm

Outer breadth = 8 cm

Outer height = 7 cm

Outer volume = length × breadth × height

= 10 × 8 × 7 = 560 cm3

Thickness of wooden box, w = 1 cm

Inner length = l – 2w

= 10 – 2 = 8 cm

Inner breadth = b – 2w

= 8 – 2 = 6 cm

Inner height = h – 2w

= 7 – 2 = 5 cm

Outer volume = 8 × 6 × 5

= 240 c m3

Volume of wood used = outer volume – inner volume

= 560 – 240 = 320 cm3

Given cost of 1 cm3 of wood = Rs 2

Hence the total cost of wood required = Rs 2 × 32 = Rs 640