Question

the outer dimension of a jewellery box made of wood are 20 cm * 16 cm * 8 cm. The thickness of wood is 1 cm .Find the total cost of wood required to make the box if 1 cm cube of wood cost rupees 2.50. Answer is 2620​

Answer 1

Answer:

2620 Rs

Step-by-step explanation:

Given:

Outer length = 20 cm

Outer width = 16 cm

Outer height = 8 cm

Therefore, outer volume = Length×Width×Height

= 20×16×8

= 2560

Since the thickness of the wooden box is 1 cm,

Inner length = 20 - 2(1) = 18 cm

Inner width = 16-2(1) = 14 cm

Inner height = 8-2(1) = 6 cm

Therefore, the inner volume = 18×14×6 = 1512

Therefore,

the volume of the wood used = Outer volume - Inner Volume = 2560-1512 = 1048

Since the cost of 1 = 2.5 Rs, therefore, the total cost = 2.5×1048 = 2620 Rs

The total cost of wood required is Rs. 2620

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Answer 2

Answer:

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