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📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 A rectangular prism has a length of 12 cm, a width of 8 cm, and a height of 6 cm. If the prism is sliced into two equal halves along its length, what is the surface area of one of the resulting prisms?

📌 First, identify the dimensions of the new halves:

📌 Length becomes \( \frac{12}{2} = 6 \) cm, width remains 8 cm, height remains 6 cm.

📌 Calculate the surface area using the formula:

📌 \[ \text{SA} = 2(lw + lh + wh) \]

📌 Substitute the new dimensions:

📌 \[ \text{SA} = 2(6 \times 8 + 6 \times 6 + 8 \times 6) = 2(48 + 36 + 48) = 2 \times 132 = 264 \, \text{square cm} \]

📌 A company produces widgets at a cost of $15 per unit and sells them for $25 each. If the company sells 1,200 widgets, what is the profit?

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