If the difference between the total surface area and lateral surface area is 392cm^2, find its total surface area
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Correct Question:
If the difference between the total surface area of cube and lateral surface area of cube is 392 cm², Find its total surface area.
Answer:
- Total surface area of cube = 1176 cm²
Step-by-step explanation:
Given:
- TSA of cube - CSA of cube = 392 cm²
To Find:
- Total Surface area of cube.
We know that,
⇒ Total Surface area of cube = 6a²
And,
⇒ Curved surface area of cube = 4a²
Now,
⇒ TSA - CSA = 392 cm²
⇒ 6a² - 4a² = 392
⇒ 2a² = 392
⇒ a² = 392/2
⇒ a² = 196
⇒ a = √196
⇒ a = 14 cm
Now, we will calculate TSA of cube,
⇒ Total Surface area of cube = 6a²
⇒ Total Surface area of cube = 6 × 14²
⇒ Total Surface area of cube = 6 × 196
⇒ Total Surface area of cube = 1176 cm²
Hence, Total surface area of cube = 1176 cm²
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