Question

the outer dimension of closed wooden box are 10cm by 8cm by 7cm. thickness of wood is 1cm. find the volume and the total cost of wood required to make box if 1cm³ of wood cost Rs 4.00​

Answer 1

Answer:

Step-by-step explanation:

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 4 Hence the total cost of wood required = Rs 4 × 320 = Rs 1280

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Answer 2

Answer.

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