Question

Total surface area of a cube is 600 sq. cm. Find the surface area of all vertical faces of

the cube.​

Answer 1

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400 cm²

GIVEN -

Total suface area of cube - 600 sq. cm

Lateral surface area = ?

SOLUTION -

T.S.A - 6 a²

600 = 6a²

100 = a²

10 = a

a = 10cm

LATERAL SURFACE AREA = 4a²

= 4 × (10)²

= 4 × 100

= 400 cm²

Answer 2

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Let the edge of the cube be l cm.

Total surface are of the cube = 5400cm^2

${6l}^{2} = 5400 \\ \\ {l}^{2} = \frac{5400}{6} \\ \\ l = \sqrt{900} \: = 30cm$

ஃ Surface area of all vertical faces of the cube

$= {4l}^{2} \\ \\ = 4 \: \times \: {(30 \: cm)}^{2} \\ \\ = 4 \: \times \: {900 \: cm}^{2} \\ \\ = {3600 \: cm}^{2}$

Thus, the area of all vertical faces of the cube is 3600cm^2