Question

If the two identical solid cube of side x are joined end to end, then the total surface area of the resulting cuboid is 12x^2.Is it true.​

Answer 1

Hi there here's your answer

No it is not true see the attachment for reason

Hope it helps

Answer 2

The statement is not true.

Step-by-step explanation:

Since the cubes are joined from the ends, it gets converted into a cuboid with the following dimensions:

• Length = 2x
• Breadth = x
• Height = x

The total surface area of the cuboid$= 2(lb + bh + hl)$ where

• l denotes the length of the cuboid
• b denotes the breadth of the cuboid
• h denotes the height of the cuboid

Therefore, the total surface area of the cuboid

$= 2 (2a\times a + a \times a + 2a\times a)$

$= 2 (2a^2 + a^2 + 2a^2)$

$= 2 (5a^2)$

$=10a^2$

Hence, the statement is not true.