Pregunta
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2.1.3 The block of wax is wrapped in a sticky plastic. The plastic wrap required to cover the entire Surface area of a block will include \( 20 \% \) of overlap. (a) Calculate the area of the plastic which will be required. (b) If a plastic wrap is sold at \( \mathrm{R} 1,20 / \mathrm{m}^{2} \), determine the total cost of plastic required

Ask by Zimmerman Morgan. in South Africa
Mar 11,2025

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(a) The area of plastic required is \( 1.20 \times A \) square meters. (b) The total cost of plastic required is \( 144A \) Rands.

Solución

Given: - The plastic wrap required to cover the entire surface area of the block will include 20% overlap. (a) To calculate the area of the plastic required: Let's assume the surface area of the block is \( A \) square meters. The area of the plastic required to cover the entire surface area of the block with 20% overlap is given by: \[ \text{Area of plastic required} = A + 0.20A = 1.20A \] (b) To determine the total cost of plastic required: The cost of plastic wrap is \( \mathrm{R} 1,20 / \mathrm{m}^{2} \). The total cost of plastic required is: \[ \text{Total cost} = \text{Area of plastic required} \times \text{Cost per square meter} \] Let's calculate the total cost of plastic required. Simplify the expression by following steps: - step0: Solution: \(1.2A\) Calculate or simplify the expression \( 1.2A \). Simplify the expression by following steps: - step0: Solution: \(1.2A\) The area of the plastic required is \( 1.2A \) square meters. Now, let's calculate the total cost of plastic required. Simplify the expression by following steps: - step0: Solution: \(1.2A\times 120\) - step1: Multiply the terms: \(144A\) The total cost of plastic required is \( 144A \) Rands.

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Beyond the Answer

To determine the area of the plastic required to wrap the block of wax, we’ll first need to calculate the surface area of the block and then add 20% for overlap. Assuming the block of wax is in the shape of a rectangular prism with dimensions a, b, and h, the surface area (SA) can be calculated using the formula: \[ \text{SA} = 2(ab + ah + bh) \] After assessing the surface area, we add 20% overlap: \[ \text{Total Area} = \text{SA} \times 1.2 \] Next, for the total cost of the plastic, multiply the total area calculated by the cost per square meter: \[ \text{Total Cost} = \text{Total Area} \times \mathrm{R} 1.20 \] This calculation ensures that you have enough plastic to cover the block securely while accounting for any necessary overlap.

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