Let us consider an AAC block wall of size 3m. × 10m. × 0.2m. as shown in the drawing.
Length of the block wall = 10m.
Height of the block wall = 3m.
The thickness of the block wall = 0.2m.
AAC block size = 0.2m × 0.2m × 0.6m.
Mortar thickness = 10mm = 0.01m.
From the drawing given below, you can observe that the addition of the mortar thickness comes on the 2 sides of every block. I have denoted them with nos. 1, & 2.
= [0.61m × 0.21m × 0.2m.]
=0.02562 CUM.
1. The number of AAC blocks required
= [volume of the wall ÷ volume of the block with mortar]
= [6 CUM. ÷ 0.02562 CUM.]
=234.2 nos.
The volume of mortar required
= volume of the block wall - the volume of the total no. of AAC blocks
= [volume of the block wall - ( no. of blocks × vol. of a single block.)]
= [6 CUM. - (234.2 nos. × 0.024 CUM.)]
= [6 CUM. - 5.62 CUM.]
=0.38 CUM.
Let us prepare this 0.38 CUM. of mortar in a 1: 6 ratio to build this 6 CUM. of the AAC block wall.
Dry volume of the cement mortar
= 1.33 × wet volume of the mortar.
= 1.33 × 0.38 CUM.
= 0.505 CUM.
2. Volume of the sand
= (6 ÷ ( 6 + 1)) × 0.505 CUM.
= 0.8571 × 0.505 CUM.
= 0.432 CUM.
3. Volume of the cement
= total dry mortar vol. - the volume of sand
= 0.505 CUM. - 0.432 CUM.
=0.073 CUM.
= 2.578 cu ft.
As you know, one bag of cement = 1.226 cu ft.
Number of cement bags
= [2.578 cu ft. . ÷ 1.226 cu ft.]
= 2.103 bags.
Let us now find out the materials required for 1 CUM. & 1 cu ft. of an AAC block wall.
1. AAC blocks:
Blocks required for 1 CUM. of AAC block wall
For 6 CUM of block wall 👉 234.2 nos. of AAC block.
So, for 1 CUM of block wall 👉 _ nos. of AAC block?.
=[ 1 CUM × 234.2 nos. ÷ 6 CUM.]
= 39 nos.
Blocks required for 1 cu ft. of wall
= 39 nos. ÷ 35.315
( As 1CUM = 35.315 cu ft.)
= 1.105 nos.
2. Cement:
Cement required for 1 CUM. of AAC block wall
=[ 1 CUM × 2.103 bags. ÷ 6 CUM.]
= 0.3505 bags
Cement required for 1 cu ft. of block wall
= [0.3505 bags ÷ 35.315]
= 0.01 bags.
3. Sand:
Sand required for 1 CUM. of AAC block wall
= =[ 1 CUM × 0.432 CUM ÷ 6 CUM.]
= 0.072 CUM.
Sand required for 1 cu ft. of block wall
= [0.072 CUM. ÷ 35.315]
= 0.002 cu ft.
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Thank you for going through these calculation steps❤. Have a good day 😄.
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