Question

a wooden box open at the top has outerdimensions 10cm, 8cm and 6cm . it is made up of wood having thickness 1cm . determine total surface area

Answer 1

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

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