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The outer dimensions of a closed wooden box are 10 cm by 8 cm by 7 cm. The thickness of the wood is 1 cm. Find the total cost of the wood required to make the box if 1 cm³ of wood costs Rs. 2.00.

Answer :

Final answer:

To find the cost of the wood used to make a closed box, first calculate the outer and inner volumes of the box, subtract the inner volume from the outer to get the volume of the wood, and then multiply the volume of the wood by the unit cost of the wood. The total cost for this box is Rs. 640.00.

Explanation:

The subject of this question is mathematics, specifically volume calculation of a box and the application of unit cost to determine the total cost.

Step 1: Calculate the outer volume of the wooden box. The formula to calculate the volume (V) is length x width x height, so V = 10 cm x 8 cm x 7 cm = 560 cm³.

Step 2: Calculate the inner volume of the box which is the volume of the hollow part inside. Since the thickness of the wood is 1 cm, the inner dimensions of the box are 8 cm x 6 cm x 5 cm. So, the inner volume is 8 cm x 6 cm x 5 cm = 240 cm³.

Step 3: Subtract the inner volume from the outer volume to find the volume of the wood used. The volume of the wood is 560 cm³ - 240 cm³ = 320 cm³.

Step 4: Multiply the volume of the wood by the unit cost to find the total cost. The total cost is 320 cm³ x Rs. 2.00/cm³ = Rs. 640.00.

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