The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is :
Cost = ?
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To determine the cost of the material to make the box, we need to know the measurements of each side of the box. Let's assume that the dimensions of the box are as follows:
- Length (L)
- Width (W)
- Height (H)
We will calculate the cost of each side separately and then add them up.
1. The cost of the base:
The base is a rectangle with dimensions L x W. Therefore, the area of the base is given by A_base = L x W.
The cost of the base is calculated by multiplying the area of the base by the cost per square cm: Cost_base = A_base x 0.9 cents.
2. The cost of the front:
The front is a rectangle with dimensions L x H. Therefore, the area of the front is given by A_front = L x H.
The cost of the front is calculated by multiplying the area of the front by the cost per square cm: Cost_front = A_front x 0.8 cents.
3. The cost of the sides and back:
The sides and back form a rectangular prism with dimensions H x W. Therefore, the area of the sides and back is given by A_sides_back = 2(H x W) + 2(H x L) = 2HW + 2HL.
The cost of the sides and back is calculated by multiplying the area of the sides and back by the cost per square cm: Cost_sides_back = A_sides_back x 1.3 cents.
To calculate the total cost, we simply add up the costs of the base, front, and sides/back:
Total Cost = Cost_base + Cost_front + Cost_sides_back
Note: Make sure all the dimensions and costs are in the same unit (either cm or any other unit) to ensure accuracy in the final answer.