Question

Find TSA of a cube if it's length of the edge is 6 cms​

Answer 1

Step-by-step explanation:

Answer:-

Given:-

• A cube of side 6 cm
• We need to find the TSA of the cube.

Concept:-

$\boxed{\sf{TSA \ cube = 6a^2}}$

Let's Do!

We are given a as 6 cm.

$\boxed{\sf{TSA \ cube = 6a^2}}$

$\boxed{\sf{TSA \ cube = 6(6)^2}}$

$\boxed{\sf{TSA \ cube = 36\times 6}}$

$\boxed{\sf{TSA \ cube =216 \ cm}}$

More to know, Know to Grow!

• The CSA of cube is $\boxed{\sf{4a^2}}$
• This is called Curved Surface Area.
• The Surface area of a square is a².

Answer 2

$\red\bigstar$ Answer:

• 216 cm²

$\pink\bigstar$ Given:

• The length of the edge is 6 cm

$\blue\bigstar$To find:

• The Total Surface Area of the cube

$\red\bigstar$ Solution:

The formula for the Total Surface Area of the cube :

• 6a²

Here, 'a' denotes the 'side' of the cube.

Value of a in the given question = 6cm

So by substituting the values, we get :

$\sf \: {6a}^{2} \\ \sf \: = \: 6 {(6cm)}^{2} \\ \sf \: = \: 6 \: \times \: 6cm \: \times \: 6cm \\ \sf \: = \: 6 \: \times \: {36 \: cm}^{2} \\ \sf \: = \boxed{\: \sf \: 216 { \sf \: cm}^{2} }$

$\therefore$The total Surface Area of the cube is 216 cm²

$\pink\bigstar$More to Know:

• The Lateral Surface Area of a cube is 4a²

• The Area of a side of the square is a²

• The Lateral Surface Area of the Cuboid is 2(lh + bh)

• The Total Surface Area of a cuboid is 2(lb + bh + hl)

Here,

• 'a' denotes 'Side of the square'

• 'l' denotes 'length of the Cuboid'

• 'h' denotes the 'Height of the Cuboid'

• 'b' denotes the 'Breadth of the cuboid'