Question

Three cubes having edges 18 24 30 cm respectively are melted and made into a new cube. Find the edge of the new cube so formed

Answer 1

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Answer 2

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$\large\underline{\red{\sf \orange{\bigstar} Given:-}}$

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$\textsf{Firstly take the three edges as A, B, C}$

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• $\textsf{Edge of cube A = 18 cm}$

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• $\textsf{Edge of cube B = 24 cm}$

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• $\textsf{Edge of cube C = 30 cm}$

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$\large\underline{\pink{\sf \red{\bigstar} To Find:-}}$

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• $\textsf{The edge of new cube ? }$

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$\large\underline{\blue{\sf \orange{\bigstar} Solution:-}}$

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• $\textsf{→"Volume of cube = a³"}$

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• $\textsf{and, a = edge}$

Now :

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$\blue{\sf{\star\;Volume \;of\; cube\; A :}}$

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• $\textsf{⇒V1= (18)³}$

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• $\textsf{⇒5832cm³}$

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$\red{\sf{\star\;Volume \;of \;cube\; B : }}$

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• $\textsf{⇒V₂ = (24)³}$

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• $\textsf{⇒13824cm³}$

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$\green{\sf{\star\;Volume \;of \;cube \;C :}}$

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• $\textsf{⇒V₃ = (30)³}$

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• $\textsf{⇒27000cm³}$

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$\pink{\sf{\star\;Total \;volume\; of \;cube \;A\;, B, \;C :}}$

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• $\textsf{⇒(5832 + 13824 + 27000)cm³}$

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• $\textsf{⇒46656cm³}$

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$\textsf{Let a be the edge of new cube}$

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• $\textsf{∴Volume = a³ = 46656}$

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• $\textsf{a = ∛46656}$

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• $\textsf{⇒∛6 × 6 × 6 × 6 × 6 × 6}$

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• $\textsf{⇒6 × 6}$

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• $\textsf{⇒36cm³}$

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$\textsf{Therefore, the volume of  edge of the new cube is "36cm³}$

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$\textsf{Note :-}$

• $\textsf{For viewing answer completely slide the answer from right to left!}$