Question

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

Answer 1

$\textsf{The edge of the new cube = 36 cm}$

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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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$\textsf{Note :-}$

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

Answer 2

Step-by-step explanation:

TotalvolumeofcubeA,B,C

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{⇒(5832 + 13824 + 27000)cm³}⇒(5832 + 13824 + 27000)cm³

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{⇒46656cm³}⇒46656cm³

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{Let a be the edge of new cube}Let a be the edge of new cube

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{∴Volume = a³ = 46656}∴Volume = a³ = 46656

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{a = ∛46656}a = ∛46656

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{⇒∛6 × 6 × 6 × 6 × 6 × 6}⇒∛6 × 6 × 6 × 6 × 6 × 6

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{⇒6 × 6}⇒6 × 6

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{⇒36cm³}⇒36cm³

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

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