Let us consider a shed of dimension as shown below.
The plinth size of the shed is 10 ft. × 8 ft.
Let us build this shed with a 6" thick wall using solid concrete blocks.
So, the inner dimension of the shed will be 9 ft. × 7 ft. (after deducting wall thickness) & the centerline of the wall is 9.5 ft. × 7.5 ft. as shown below.
Now, we will excavate a trench of size 2 ft. depth & 1.5 ft. in width with 0.75 ft. on either side of the wall center.
Outer excavation length
= wall center length + (excavation width ÷ 2) × 2 nos.
= 9.5 ft. +( 1.5 ft ÷ 2) × 2
= 11 ft.
Outer excavation width
= wall center width + (excavation width ÷ 2) × 2 nos.
= 7.5 ft. +( 1.5 ft ÷ 2) × 2
= 9 ft.
Now, excavation for the long side of the wall
= (length × width × depth ) × 2 nos.
= (11 ft. × 1.5 ft. × 2 ft. ) × 2 nos.
= 66 cu.ft.
Excavation for the short side of the wall
= (9 ft - ( 1.5 ft × 2 sides) × 1.5 ft. × 2 ft. ) × 2nos.
=( 6 ft. × 1.5 ft. × 2 ft.) × 2 nos.
= 36 cu.ft.
Total volume of the excavation
= 66 cu.ft. + 36 cu.ft.
= 102 cu.ft.
Engineers way of doing estimation:
1. excavation long side of wall 11 1.5 2.0 2 66 cu.ft.
2. short side of wall 6 1.5 2.0 2 36 cu.ft.
Total quantity = 102 cu.ft.
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