Math, asked by sonianivatkar8163, 1 year ago

Three cubes of metal with edges 3cm,4cm,,5cm,respectively are melted to form a single cube. Find the lateral surface area of the new cube formed.

Answers

Answered by TheUrvashi
23
Three cubes are melted into a bigger cube.

The edges of the cube are 3 cm, 4 cm and 5 cm respectively.

Consider the edge of bigger cube be k.

So that Sum of volume of 3 cubes = volume of bigger cube.

Volume of bigger cube.= k3

k3 = 33 + 43 + 53 .

k3 = 27 + 64 + 125 = 216

∴ k = 6 cm.

Lateral surface area of the new cube = 4k2 = 4x6x6 = 144 cm2 .

Answered by XxabcdexX
0

Answer:

Three cubes are melted into a bigger cube.

The edges of the cube are 3 cm, 4 cm and 5 cm respectively.

Consider the edge of bigger cube be k.

So that Sum of volume of 3 cubes = volume of bigger cube.

Volume of bigger cube.= k3

k3 = 33 + 43 + 53 .

k3 = 27 + 64 + 125 = 216

∴ k = 6 cm.

Lateral surface area of the new cube = 4k2 = 4x6x6 = 144 cm2 .

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