Question

the lateral surface area of cube is 576cm².find its total surface area
It's current plss help​

Answer 1

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Given:

Lateral surface area of cube = 576 cm²

To find:

Total surface area of cube = ?

Solution:

If we find the side a then we can find total surface area easily

Lateral surface area of cube = 4a²

576 = 4a²

$\\ \\ \dfrac{576}{4} = a{}^{2} \\ \\ 144 = a {}^{2} \\ \\ a = \sqrt{144} \\ \\ a = 12 \: cm$

Length of side a = 12 cm

Total surface area of cube (TSA) = 6a²

TSA = 6 × (12)²

TSA = 6 × 144

TSA = 864 cm²

Answer:

Thus, Total surface area of cube is 864 cm²

Knowledge booster:

1. Volume of cube = a³
2. When such questions are faced so try to find side to solve it easily
3. Try to solve more such questions to get good hold on it