8. A plastic box 1.75 m long, 1.25 m wide and 75 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine: (i) The area of the sheet required for making the box. (ii) The cost of sheet for it, if a sheet measuring 1m² costs 15.50. 1​

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Step-by-step explanation:

Let's calculate the area of the plastic sheet required for making the box:

(i) The area of the sheet required is the sum of the areas of the five sides of the box (since it's open at the top).

\[ \text{Area} = \text{2(length} \times \text{width) + 2(length} \times \text{height) + 2(width} \times \text{height)} \]

Given:

\[ \text{Length} = 1.75 \, \text{m} \]

\[ \text{Width} = 1.25 \, \text{m} \]

\[ \text{Height} = 0.75 \, \text{m} \]

Now, substitute these values into the formula to find the area.

(ii) Once you find the area, you can calculate the cost of the sheet by multiplying the area by the cost per square meter.

\[ \text{Cost} = \text{Area} \times \text{Cost per square meter} \]

Given:

\[ \text{Cost per square meter} = 15.50 \, \text{USD} \]

Now, substitute the area into the formula to find the cost. Calculate the result to get the final answer.

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Hopefully you can see the provided image

Since we don't have significant figures emphasized, therefore we are calculating precise measures, you can round if the instructor gives permission
Clarification: the box has two equal sides and one base thus the side of box area was multiplied by 2


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