Question

an open water tank is in shape of cubiod with outer dimensions length x and breadth y and height z .if thickness of the wall is a units express the inner dimensions​

Answer 1

Answer:

length= x-2a

Breadth= y-2a

Height= z-a

Step-by-step explanation:

we know that outer dimensions of the cuboid are;

length= x

breadth= y

height= z

If the thickness of the wall is a units , then;

Length:

The length consists of two wall, a wall at each end.

so the length covered by the thickness of the walls is

$2*a=2a$

Therefore, the inner length is  $(x-2a)$

Breadth:

The breadth consists of two walls at its end.

so the length covered by the thickness of the walls is

$2*a=2a$

Therefore, the inner breadth is  $(y-2a)$

Height:

Now, we know that the tank is open at the top, thus it consist of one wall at the bottom.

Therefore the length covered by the thickness of the wall is a.

Therefore the inner height can be found as;

$(z-a)$