Question

the volume of a rectangle is 60 metre cube and diagonal is 5 root 2 if height of the room is 3 metre then its length and breadth are ​

Answer 1

Answer:

length and breadth will be 4 and 5 (or) 5 and 4

Step-by-step explanation:

pls try to understand it will be little messy...\

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Answer 2

The length and breadth are ​4 and 5.

Step-by-step explanation:

The volume of a rectangle is 60 metre cube.

Volume of a cuboid is

$Volume=l\times b\times h$

where, l is length and b is breadth and h is height.

Height of the room is 3 metre.

$60=l\times b\times 3$

$20=l\times b$

$\dfrac{20}{b}=l$         ... (1)

Length of the digonal is

$lenght^2=l^2+b^2+h^2$

diagonal is 5 root 2.

$(5\sqrt{2})^2=l^2+b^2+3^2$

$50=l^2+b^2+9$

$41=l^2+b^2$         .... (2)

On solving (1) and (2) we get

$l=5,4,-5,-4$

Dimensions can not be negative.

If l=5, then b=4.

If l=4, then b=5.

Therefore, the length and breadth are ​4 and 5.

#Learn more

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