Directions: Read the condition given below and answer the question bas

1.	Directions: Read the condition given below and answer the question based on it.Three cubes of volume 216 cm cube is placed one after another. What is the length of the diagonal of the resulting cuboids?1. 6√12 cm2. 9√9 cm3. 6√11 cm4. 6√9 cm
Answer» Correct Answer - Option 3 : 6√11 cm Given: The volume of each cube is 216 cm cube Formula Used: Side = ∛Volume of cube Length of diagonal of cuboids = √(l² + b² + h²) Calculation: The volume of cube is 216 cm cube ∴ Side of cube = ∛216 = 6 cm It is given in the question that three cubes are place side by side so, the breadth and height of resulting cuboids will be same as cube but length will change ∴ Length of cuboid = 6 + 6 + 6 = 18 cm So, length = 18 cm, breadth = 6 cm and height = 6cm Now, diagonal of cuboid = √(18)² + (6)² + (6)² = 6√11 cm Hence, option (3) is correct

Directions: Read the condition given below and answer the question based on it.Three cubes of volume 216 cm cube is placed one after another. What is the length of the diagonal of the resulting cuboids?1. 6√12 cm2. 9√9 cm3. 6√11 cm4. 6√9 cm

Answer» Correct Answer - Option 3 : 6√11 cm

Given:

The volume of each cube is 216 cm cube

Formula Used:

Side = ∛Volume of cube

Length of diagonal of cuboids = √(l² + b² + h²)

Calculation:

The volume of cube is 216 cm cube

∴ Side of cube = ∛216 = 6 cm

It is given in the question that three cubes are place side by side so, the breadth and height of resulting cuboids will be same as cube but length will change

∴ Length of cuboid = 6 + 6 + 6 = 18 cm

So, length = 18 cm, breadth = 6 cm and height = 6cm

Now, diagonal of cuboid = √(18)² + (6)² + (6)² = 6√11 cm

Hence, option (3) is correct

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