Question

The surface area of a cube is 1176 cm². Find its volume​

Answer 1

Answer:

TSA of cube=6a

2

=1176cm

2

a

2

=

6

1176

=196

a=14cm

Volume of cube=a

3

=(14)

3

=2744cm

3

.

Answer 2

TSA of cube = 6a² = 1176cm²

$\sf \orange{{a}^{2} = \cancel\dfrac{1176}{6} = 196}$

$\sf \green{{a}^{2} = 14 \: cm}$

Volume of cube = a²

$\sf \implies \red {(14 {)}^{3}}$

$\sf \implies \purple{2744 \: {cm}^{2}}$