3 cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to from a single cube. The surface area of the new cube will be.?

196 sq. m
216 sq. m
169 sq. m
343 sq. m

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 216 sq. m

Now the volume of cube = (side)³

As three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to from a single cube

Volume of first cube = 3³ = 27 cm³

Volume of second cube = 4³ = 64 cm³

Volume of third cube = 5³ = 125 cm³

∴ Volume of the single resultant cube = 27 + 64 + 125 = 216 cm³

∴ Side of resultant cube = (216)^1/3 = 6 cm

∴ Surface area of the new cube = 6 × 6² = 216 cm³

4 views Answered 2022-09-04 04:29

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