Question

The lateral surface area of a cube is 324 sq.cm. What is the total surface

area of the cube?​

Answer 1

Let a = length of each edge of the cube

Let a = length of each edge of the cubeLSA of cube = 324 cm2

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324a²= 81

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324a²= 81a = 9 cm

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324a²= 81a = 9 cma)TSA = 6a² = 6(9)² = 6 × 81

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324a²= 81a = 9 cma)TSA = 6a² = 6(9)² = 6 × 81 = 486 cm²

Let a = length of each edge of the cubeLSA of cube = 324 cm24a² = 324a²= 81a = 9 cma)TSA = 6a² = 6(9)² = 6 × 81 = 486 cm²b)volume = a³= 9³ = 729 cm³

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Answer 2

Given that

lateral surface area of a cube is 324 sq.cm

To find

Total surface area of the cube

Solution

Let a is the side of cube

then.

$lateral \: surface \: area = 4 \times {a}^{2} \\ 324 = 4 {a}^{2} \\ {a}^{2} = \frac{324}{4} \\ a = \sqrt{ \frac{324}{4} } \\ a = \frac{18}{2} \\ a = 9$

$total \: surface \: area = 6 \times {a}^{2} \\ = 6 \times {9}^{2} \\ = 6 \times 81 \\ = 486 {cm}^{2}$