Question

b) The square on the diagonal of a cube has an area of 192sq cm. Calculate the side and the total surface area of the cube.




want in written form​

Answer 1

Answer:

The side of the cube = 8 cm

The total surface area of the cube = 384 sq. cm

Step-by-step explanation:

According to the the question,

      (√3 × a)² = 192sq cm     [Where “a” is the cube side]

 => 3 × a² = 192

 => a² = 192/3

 => a = $\sqrt{64}$ cm

 => a = 8 cm.

∴ The total surface area of the cube is = 6 × a² = 6 × 8² = 384 sq. cm