Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 12a². Write ‘True’ or ‘False’ and justify your answer

Solution:

It is given that

Two identical solid cubes of side a are joined end to end

So the length = 2a

Breadth = a

Height = a

We know that

Total surface area of cuboid = 2 (Length × Breadth + breadth × height + Length × height)

Substituting the values

= 2 (2a × a + a × a + 2a × a)

By further calculation

= 2 (2a² + a² + 2a²)

= 2 (5a²)

= 10a²

Therefore, the statement is false.

✦ Try This: 3 cubes of edge 4cm are joined end to end. Find the surface area of the resulting cuboid.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.2 Sample Problem 3

Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 12a². Write ‘True’ or ‘False’ and justify your answer

Summary:

The statement “Two identical solid cubes of side a are joined end to end. Then the total surface area of the resulting cuboid is 12a²” is false

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