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
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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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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