Math, asked by srilakshminarayani1, 9 months ago

three copper cubes whose edges mesure 5cm, 4cm, and 3m respectively are melted to form a single cube. find the surface area of the new cube​

Answers

Answered by Hansika124
11

Answer: the answer is

Step-by-step explanation:

Answer:

Edge of 1st cube = 3cm

Volume of 1st cube = edge^3

=3^3

=27cm^3

Edge of 2nd cube=4cm

Volume of 2nd cube =4^3

=64cm^3

Edge of 3rd cube =5cm

Volume of 3rd cube =5^3

=125cm^3

Total volume of the 3 cubes =Volume of new cube

Volume of new cube = 27 +64+125cm^3

=216cm^3

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Answered by Anonymous
27

Cᴏʀʀᴇᴄᴛ ǫᴜᴇsᴛɪᴏɴ:

Three copper cubes whose edges mesure 5cm, 4cm, and 3cm respectively are melted to form a single cube. find the surface area of the new cube.

To Find :

  • we need to find Surface Area of new cube.

Given :

  • Measure of edges of three cubes is 5cm ,4cm and 3cm

Now,

Volume of new cube = Sum of volumes of three cubes.

Then,

we know that,

  • ☣ Volume of cube = s³
  • s = measure of side

So,

⟹ 5³ + 4³ + 3³ = s³

⟹ 125 + 64 + 27 = s³

⟹ 216 = s³

⟹ 6 × 6 × 6 = s³

⟹ 6 = s

So,

  • Measure of Side of new cube is 6cm

Now,

  • Surface area of new cube :

☣ Surface area of cube = 6a²

⟹ 6 × 6 × 6

⟹ 216cm².

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