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A cement concrete road is 1000 m long, 8 m wide and 15 cm thick over the sub-base of 10 cm thick gravel. The box cutting in road crust is
Answer & Solution
Correct Answer:
Option
D
We're asked to find the volume of box cutting needed for a concrete road. Think of "box cutting" as the amount of soil we need to remove (excavate) to create space for the road.
The road is made of two layers:
1. A 15 cm thick concrete layer.
2. A 10 cm thick gravel sub-base layer.
Box cutting is all about how much earth you need to remove, so we only care about the final dimensions of the road profile. So, we need to consider both layers (concrete and gravel) to determine the total depth of the excavation.
1. Calculate the total thickness:
The total thickness is 15 cm (concrete) + 10 cm (gravel) = 25 cm.
We need to convert this to meters: 25 cm = 0.25 m
2. Calculate the volume:
Volume is calculated by: Length x Width x Height (or Thickness in this case)
Length = 1000 m
Width = 8 m
Thickness = 0.25 m
Volume = 1000 m x 8 m x 0.25 m = 2000 m3
Therefore, the correct answer is Option D: 2000 m3
The road is made of two layers:
1. A 15 cm thick concrete layer.
2. A 10 cm thick gravel sub-base layer.
Box cutting is all about how much earth you need to remove, so we only care about the final dimensions of the road profile. So, we need to consider both layers (concrete and gravel) to determine the total depth of the excavation.
1. Calculate the total thickness:
The total thickness is 15 cm (concrete) + 10 cm (gravel) = 25 cm.
We need to convert this to meters: 25 cm = 0.25 m
2. Calculate the volume:
Volume is calculated by: Length x Width x Height (or Thickness in this case)
Length = 1000 m
Width = 8 m
Thickness = 0.25 m
Volume = 1000 m x 8 m x 0.25 m = 2000 m3
Therefore, the correct answer is Option D: 2000 m3
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LoginB=8m
Road Thickness over subbase=15cm=0.15m
Gravel thickness=10cm=0.1
The total thickness =0.15+0.1=0.25m
Box cutting road crust= 1000×8×0.25= 2000m³
Original vol. Comes out 2000m3
But we know
Cutting vol. =(1/4)*original volume
So putting the values we get
Cutting vol. =(1/4)* 2000=500
So box cutting in road crust=2000-500=1500
Cutoff volume = 500 cu m
So 2000-500 1500
= 1000 * 8 * 0.25cum,
= 2000 cum
Cutt-off volume = (1/4) * original volume.
= (1/4) * 2000cum,
= 500cum
So, Box cutting in road curst = (2000-500)
= 1500cum
because if we calculate total thickness that will be .25m
and we have given width is 8m
length is 1000m
so total volume is 1000*8*.25 = 2000
Ans should be D): 2000 Cu M
Ans should be D -2000 M3