To calculate AAC, multiply the principal by the interest rate and then multiply that result by (1 + r) raised to the power of **n**. Divide the entire expression by ((1 + r)ⁿ − 1) to get the accumulated value.

## AAC Calculator

An **AAC calculator** helps you calculate the total number of Autoclaved Aerated Concrete (AAC) blocks needed for a project. AAC blocks are lightweight, precast, and used extensively in construction due to their durability and energy efficiency.

**Formula:**

The formula for calculating AAC is often used to estimate how many blocks are required for a given area and can also factor in the cost of materials. The formula for calculating AAC is:

**AAC = P × r × (1 + r)ⁿ / ((1 + r)ⁿ − 1)**

Where:

**P**is the principal or initial investment,**r**is the rate of interest,**n**is the number of periods or months.

**How to Calculate ?**

- Multiply the principal (P) by the interest rate (r).
- Multiply this value by (1 + r) raised to the power of
**n**. - Divide by ((1 + r)ⁿ − 1) to get the final value.

**Solved Calculations:**

**Example 1:**

Calculation |
Instructions |
---|---|

Given: P = $1,000, r = 0.05, n = 12 |
Start with the given values for the principal, interest rate, and periods. |

AAC = 1000 × 0.05 × (1 + 0.05)¹² / ((1 + 0.05)¹² − 1) | Plug the values into the formula. |

AAC = 50 × 1.795856 / (1.795856 − 1) | Calculate the powers and simplify. |

AAC = 50 × 1.795856 / 0.795856 | Divide the numerator by the denominator. |

AAC ≈ $112.74 |
The accumulated value is approximately $112.74. |

**Answer:** The accumulated value is **$112.74**.

**Example 2:**

Calculation |
Instructions |
---|---|

Given: P = ₹50,000, r = 0.07, n = 24 |
Start with the given values. |

AAC = 50,000 × 0.07 × (1 + 0.07)²⁴ / ((1 + 0.07)²⁴ − 1) | Plug the values into the formula. |

AAC = 3,500 × 4.338 / (4.338 − 1) | Calculate the powers and simplify. |

AAC = 3,500 × 4.338 / 3.338 | Divide the numerator by the denominator. |

AAC ≈ ₹4,550.43 |
The accumulated value is approximately ₹4,550.43. |

**Answer:** The accumulated value is **₹4,550.43**.