Question

If two cubes of lenght 2root6 cm are placed side by side then the length of diagonal of the cuboid produced is

How to solve it step by step

Answer 1

Step-by-step explanation:

a=2√6

h=2√6

l=a+a=4√6

b=2√6

area of cuboid= 2(lb+bh+hl)

=2(4√6(2√6)+2√6(2√6)+2√6(4√6))

=2(48+24+48)

=2(120)

=240cm³

Answer 2

Given :- If two cubes of length of each side 2√6 cm are placed side by side , then what is the length of the diagonal of the cuboid so produced is ?

Solution :-

we know that, when two cubes of same length are placed side by side, then,

• Length of cuboid so formed = 2 * Length of cube = 4√6 cm.
• Breadth of cuboid = Length of cube = 2√6 cm.
• Height of cuboid = Length of cube = 2√6 cm.

now, we also know that,

• Diagonal of the cuboid =√(length² + breadth² +height²)

Putting all values we get,

→ Diagonal = √[(4√6)² + (2√6)² + (2√6)²]

→ Diagonal = √[96 + 24 + 24]

→ Diagonal = √(144)

→ Diagonal = 12 cm.

Hence, the length of the diagonal of the cuboid so produced is 12 cm.

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