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What is the volume of earthwork for constructing a tank that is excavated in the level ground to a depth of 4 m ? The top of the tank is rectangular in shape having an area of 50 m × 40 m and the side slope of the tank is 2: 1 (horizontal: vertical).
  • a)
    5461 m3
  • b)
    6688 m3
  • c)
    8866 m3
  • d)
    5632 m3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the volume of earthwork for constructing a tank that is excava...
To find the volume of earthwork for constructing the tank, we need to know the dimensions of the tank. Specifically, we need to know the length and width of the rectangular top of the tank.

Once we have the dimensions, we can calculate the volume using the formula:

Volume = Area of the top x Depth

Let's assume the length of the rectangular top is L and the width is W.

Given that the area of the top is 50 m²:

L x W = 50

Since the top is rectangular, we can assume that L and W are equal for simplicity.

Therefore, L² = 50

Taking the square root of both sides:

L ≈ √50 ≈ 7.07

Now we can calculate the volume:

Volume = 50 x 4 = 200 m³

So, the volume of earthwork for constructing the tank is 200 cubic meters.
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Community Answer
What is the volume of earthwork for constructing a tank that is excava...
  • Trapezoidal Formula:
    Volume (v) of earthwork between a number of sections having areas A1, A2,…, An spaced at a constant distance d.

Also can be written as 

Calculation:
Given, A1 = 50 × 40 = 2000 m2, As the side slope is given 2:1 i.e. H:V
So for a depth of 1 m, there is a change of 2 m in a Horizontal Direction.
So at 4 m vertical depth
Bottom Dimension is ( 50 - 16 ) = 34 m & (40 - 16) = 24 m
∴ The bottom area is 34 m × 24 m = 816 m2
Mean area (Am) = (2000 + 816) / 2 = 1408 m2

According to simple Trapezoidal rule for volume,
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What is the volume of earthwork for constructing a tank that is excavated in the level ground to a depth of 4 m ? The top of the tank is rectangular in shape having an area of 50 m × 40 m and the side slope of the tank is 2: 1 (horizontal: vertical).a)5461 m3b)6688 m3c)8866 m3d)5632 m3Correct answer is option 'D'. Can you explain this answer?
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