a cubical wooden box of internal at one metre is made of 5 cm thick wood .the box is open at the top . if the wood cost rupees 9600 per cubic metre find the cost of wood required to make the box
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Step-by-step explanation:
Volume of wood required to make the box
= Volume of the cube having edge 1 m – Volume of cuboid having dimensions (1 – 2 × 0.05) m × (1 – 2 × 0.05) m × (1 – 0.05)m
= (1 m)3 – (1 – 0.1) × (1 – 0.1) × (1 – 0.05) m3
= 1 m3 – 0.9 × 0.9 × 0.95 m3
= 1 m3 – 0.7695 m3
= 0.2305 m3
Rate of wood = Rs 9600/m3
∴ Cost of making the box
= Rate of wood × Volume of wood required to make the box
= Rs 9600/m3 × 0.2305 m3
= Rs 2212.8
Thus, the cost of making the box is Rs 2212.80.
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