Question

three metal cubes whose edges are 3 cm. 4 cm and 5 cm respectively are melted to form a single cube. what is the edge of this cube?

Answer 1

cube of 3+cube of 4 +cube of 5= cube of 6

Answer 2

$\textbf {Hey there, here is the solution.}$

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STEP 1: Find the volume of each of the cubes:

Volume = edge³

Volume of cube with edge 3 cm = 3³ = 27 cm³

Volume of cube with edge 4 cm = 4³ = 64 cm³

Volume of cube with edge 5 cm = 5³ = 125 cm³

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STEP 2: Find the volume of the 3 cubes:

Volume = 27 + 64 + 125 = 216 cm³

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STEP 3: Find the edge of the single cube:

Volume = edge³

edge³ = 216

edge = ∛216

edge = 6 cm

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Answer: The edge of this cube is 6 cm

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⭐$\textbf {Cheers}$⭐