Question

Three cube of metal the edges of three cubes are metal are 3cm 4cm and 5cm their metalled and forms in single cube find the lateral surface area of ​

Answer 1

Answer:

144 cm²

Step-by-step explanation:

Given:

☯ Three cubes with the following edges:

Cube1 (a₁) = 3cm

Cube2 (a₂) = 4cm

Cube3 (a₃) = 5cm

☯ Volume of three cubes = Volume of the single cube

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To find: LSA of the single cube

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Solution:

We know that:

☯ Volume of three cubes = Volume of the single large cube

☯ a₁³ + a₂³ + a₃³ = A³

☯ 3³ + 4³ + 5³ = A³

☯ 27 + 64 + 125 = A³

☯ 216 = A³

☯ A = 6 cm

∴ The side of the large cube is 6cm

Lateral Surface area of Large cube = 4A² = 4 * 6 * 6 = 4 * 36 = 144 cm²

Hence, the LSA of Large cube is 144 cm².

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