Question

The outer dimension of a jewellery box made of wood are 20 cm × 16 cm × 8 cm . The thickness of the wood is 1 cm .find the total cost of wood required to make the box , if 1 centimetre cube of wood costs ₹2.50

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 cmInner breadth = b – 2w = 8 – 2 = 6 cmInner 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

Answer 2

The total cost of wood required to make the box is Rs.2620

Step-by-step explanation:

Outer length of box = 20 cm

Outer breadth of box = 16 cm

Outer height of box = 8 cm

The thickness of the wood is 1 cm .

So, Inner length of box = 20 -(1+1)=18 cm

Inner breadth of box = 16-(1+1)=14 cm

Inner height of box = 8-(1+1)=6 cm

Volume of wood used = Outer volume - Inner volume

Volume of wood used = $(20 \times 16 \times 8)-(18 \times 14 \times 6)$

Volume of wood used =$1048 cm^3$

Cost of 1 cubic cm = Rs.2.5

Cost of 1048 cubic cm = $1048 \times 2.5 = Rs.2620$

Hence the total cost of wood required to make the box is Rs.2620

#Learn more:

Outer dimension of a closed wooden box are 10 cm by 8 cm by 7 cm thickness of the wood is 1 cm find the total cost of wood required to make the box if 1 centimetre cube of wood cost to PS2

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