Answer & 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 m
3
Therefore, the correct answer is
Option D: 2000 m3