### Material calculation for AAC block wall construction with cement mortar.

Let us consider an AAC block wall of size 3m. × 10m. × 0.2m.  as shown in the drawing.

Now, we will build this wall with an AAC block of size 200 mm × 200 mm × 600 mm as shown in the image below.

Generally, the AAC block wall is constructed with 8mm. to12mm. mortar thickness. Let us take an average thickness of 10mm. for the calculation purpose.

Given data:

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.

To calculate the number of blocks required to build this wall, first, we will find out the volume of the wall and the volume of a single AAC block with or without mortar.

The volume of the block wall

= Length × Height × Thickness

= 3m. × 10m. × 0.2m.

= 6 CUM.

Now, the volume of the AAC block

= length × height × thickness

= 600 mm × 200 mm × 200 mm

( By converting them into m.)

= 0.6m × 0.2m × 0.2m.

=0.024 CUM.

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 the nos. 1, & 2.

So, the volume of the AAC block with mortar

=  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 × 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. - 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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