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Home » The new area of the square is \(\boxed144\) square units. - Crankk.io

The new area of the square is \(\boxed144\) square units. - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A rectangular box has a volume of 108 cubic meters. If the length is triple the width and the height is twice the width, what is the width of the box?

📌 Let the width be \( x \) meters. Then length = \( 3x \), height = \( 2x \).

📌 Volume = \( 3x \cdot x \cdot 2x = 6x^3 \)

📌 6x^3 = 108 \Rightarrow x^3 = 18 \Rightarrow x = \sqrt[3]{18}

📌 x \approx 2.62 \quad \text{but exact form: } x = \sqrt[3]{18}

📌 However, note \( 18 = 2 \cdot 3^2 \), so no perfect cube — but problem likely expects exact cube:

📌 Check: \( 2.62^3 \approx 18 \)? Yes.

📌 But since \( 6x^3 = 108 \Rightarrow x^3 = 18 \Rightarrow x = \sqrt[3]{18} \)

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