Question

the surface area of a cube is 384 CM find the length of an edge​

Answer 1

Given,

The surface area of a cube = 384 cm^2.

Surface area of cube = 6a^2

$384 = 6 {a}^{2}$

${a}^{2} = \frac{384}{6}$

${a}^{2} = 64$

$a = \sqrt{64}$

$a = 8$

Therefore the edge of cube is 8cm

Answer 2

Step-by-step explanation:

Given

Surface area of a cube =384cm

2

(i) We know that,

Surface area of cube =6(edge)

2

⇒384=6(edge)

2

⇒(edge)

2

=

6

384

=64

⇒edge=

64

=8 cm

(ii) Volume of cube =(edge)

3

=8

3

=512 cm

3