Question

If the difference between the total surface area and the lateral surface area of a cubical object is 392 CM square find its total surface area

Answer 1

Hello Mohit !

Answer:

1176 cm²

Step-by-step explanation:

Given :

Cubical Object

TSA - LSA = 392 cm²

To Find :

Total Surface Area of the cubical Object

Formulae :

LSA of a Cube = 4a²

TSA of a Cube = 6a²

Where a is the side of the cube.

Procedure :

6a² - 4a² = 392 cm²

⇒ 2a² = 392 cm²

Multiplying the above Equation by 3,

[We are supposed to find TSA of the cubical object. i.e. 6a² = ?]

⇒ 6a² = 392 × 3 cm²

∴ TSA = 1176 cm²

Hence the Total Surface Area of the Cubical object is 1176 cm².

Thanks !