KnowledgeBoat Logo
|

Mathematics

The total surface area of a cube is 96 cm2. The length of a diagonal of the cube is :

  1. 16 cm

  2. 838\sqrt{3} cm

  3. 636\sqrt{3} cm

  4. 434\sqrt{3} cm

Mensuration

1 Like

Answer

Given,

Total surface area of cube = 96 cm2.

By formula,

Total surface of a cube = 6a2

⇒ 96 = 6a2

⇒ a2 = 966\dfrac{96}{6}

⇒ a2 = 16

⇒ a = 16\sqrt{16}

⇒ a = 4 cm.

Calculating the length of diagonal of a cube,

Diagonal of a cube = a3=43a\sqrt{3} = 4\sqrt{3} cm.

Hence, option 4 is the correct option.

Answered By

3 Likes


Related Questions