Q12
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
A.
500 m3
B.
1000 m3
C.
1500 m3
D.
2000 m3
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
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