the outer dimensions 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 cm×cm×cm of wood costs ruppees=2.50.
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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)(20×16×8)−(18×14×6)
Volume of wood used =1048 cm^31048cm
3
Cost of 1 cubic cm = Rs.2.5
Cost of 1048 cubic cm = 1048 \times 2.5 = Rs.26201048×2.5=Rs.2620
Hence the total cost of wood required to make the box is Rs.2620
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