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External dimensions of a closed wooden box are 2.05 M ,1.25 m and 75 cm respectively. thickness of the wood is 2.5 cm . find the cost of the wood if 1 m cube of wood cost $ 100?
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External dimensions of a closed wooden box are 2.05 M ,1.25 m and 75 c...
Given data:
- Length of the box (L) = 2.05 m
- Width of the box (W) = 1.25 m
- Height of the box (H) = 0.75 m
- Thickness of the wood = 2.5 cm
- Cost of 1 m³ of wood = $100

Calculations:
1. Calculate the internal dimensions of the box:
- Internal Length (L') = Length - 2 * Thickness = 2.05 m - 2 * 0.025 m = 2 m
- Internal Width (W') = Width - 2 * Thickness = 1.25 m - 2 * 0.025 m = 1.2 m
- Internal Height (H') = Height - 2 * Thickness = 0.75 m - 2 * 0.025 m = 0.7 m
2. Calculate the volume of the box:
- Volume = L' * W' * H' = 2 m * 1.2 m * 0.7 m = 1.68 m³
3. Calculate the total surface area of the box:
- Total Surface Area = 2 * (L' * W' + W' * H' + H' * L') = 2 * (2 m * 1.2 m + 1.2 m * 0.7 m + 0.7 m * 2 m) = 13.2 m²
4. Calculate the volume of wood used in making the box:
- Volume of wood = (L * W * H) - (L' * W' * H') = 2.05 m * 1.25 m * 0.75 m - 2 m * 1.2 m * 0.7 m = 0.49 m³
5. Calculate the cost of the wood used:
- Cost of wood = Volume of wood * Cost per m³ = 0.49 m³ * $100 = $49
Therefore, the cost of the wood used to make the box is $49.
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External dimensions of a closed wooden box are 2.05 M ,1.25 m and 75 cm respectively. thickness of the wood is 2.5 cm . find the cost of the wood if 1 m cube of wood cost $ 100?
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