Question

the lateral surface area of cube in 256 cm square . find its total surface area​

Answer 1

#BAL

lateral surface area = 4 a^2

= 4 a^2=256

= a^2=256/4

= a^2=64

=a=8

total surface area = 6 a^2

6 a^2=6×64

=384

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Answer 2

Answer:

384sq cm

Step-by-step explanation:

Let the each side of the cube be s.

The Lateral Surface area of cube= 256sq cm (given)

$4 \times {s}^{2} = 256 \\ {s}^{2} = 256 \div 4 \\ {s}^{2} = 64 \\ s = \sqrt{64} \\ s = 8$

s= 8cm

Therefore,

Total Surface area of the cube=

$6 {s}^{2} \\ 6 \times {8}^{2} \\ 6 \times 64 \\ 384 {cm}^{2}$

Total Surface area of the cube= 384sq cm