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

**200 mm × 200 mm × 600 mm**as shown in the image below.

__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.

**6 CUM.**

**00 mm × 200 mm × 200 mm**

**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.

= **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. - 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 **ðŸ‘‰** 234.2 nos. of AAC block.

So, for 1 CUM of block wall **ðŸ‘‰** _ 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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