The outer dimensions of a closed wooden box are 16 cm*12cm*8 cm. the thickness of the wood is 1 cm. find the total cost of wood required to make the box, if 1 cm^3 of wood costs rs.2.50
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Total cost to make the box will be 1740 Rs.
Step-by-step explanation:
The closed wooden box has the outer dimensions 16 cm by 12 cm by 8 cm.
So, the outer volume V' = (16 × 12 × 8) = 1536 cm³.
The box has a thickness of 1 cm.
So, the inner dimensions of the box are (16 - 2) cm by (12 - 2) cm by (8 - 2) cm. i.e. 14 cm by 10 cm by 6 cm.
So, the inner volume is V = (14 × 10 × 6) = 840 cm³.
Therefore, the total volume of wood required to make the box is (V' - V) = (1536 - 840) = 696 cm³.
Now, if wood costs 2.5 Rs. per cm³,
Then the total cost to make the box will be (696 × 2.5) = 1740 Rs. (Answer)
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