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Q.

[[1]] is the volume of the rectangular tank whose length, breadth, and depth (in units) are 49xy,215xy3,7516x3z. 


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Detailed Solution

According to the question, we are given the length, breadth, and height of a rectangular tank.
We know that a rectangular tank is of cuboidal shape.
Here, in this question, we are asked to find the volume of the rectangular tank.
We know that the volume of the cuboid is the product of its length, breadth, and height, that is, Volume of a cuboid = Length × Breadth × Height ……………………………………..(1)
Since the rectangular tank is of cuboidal shape so, the formula for the volume of cuboid will be applicable for the volume of the rectangular tank too ……………………………………….(2)
From equation (1) and equation (2), we have
The volume of the rectangular tank = Length × Breadth× Height……………………….(3)
We are given that,
The length of the tank = 49xy units ………………………………………………(4)
The breadth of the tank = 215xy3  units ………………………………………(5)
The depth of the tank = The height of the tank = 7516x3units…………………………………..(6)
Now, from equation (3), equation (4), equation (5), and equation (6), we get
The volume of the rectangular tank = 49xy × 215xy3 × 7516x3 = 518x5y4z
Therefore, the volume of the rectangular tank is 518x5y4z
 
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