Calculate the volume of the house

Hello everyone,

can someone help me calculate the cubic volume of a house? I once talked to a construction company and they said that the costs are roughly 400-450 € per cubic meter of enclosed space.

He said that I have to calculate from the bottom edge of the floor slab to the top edge of the roof (?).

I plan to build a house with a base area of 9 m x 10 m with a 45° gable roof and a knee wall height of 110 cm. That means, I believe, a one and a half story construction.

How can I calculate the cubic volume here with the above information and specifications? Especially from the bottom edge of the floor slab to the top edge of the roof considering that I don’t have a full story upstairs?

I mainly want to learn and understand how it works so that I can also calculate it myself, e.g. for other dimensions.

Best regards Yavuz

I don’t know how thick a foundation slab is or what floor heights you have, but:

V1 = h (height of foundation slab + ground floor + upper floor up to top of knee wall) * L * W
V1 = (0.4m + 3m + 1.1m) * 9m * 10m
V1 = 4.5m * 9m * 10m
V1 = 405m³

V2 = volume from top edge of knee wall to ridge

V2 = area of "45 degree triangle" * house length

First, calculate the length of the roofs.

Imagine the triangle as an isosceles triangle with the width of the house, so:

a² + b² = c²

c = house width

thus

a² + b² = 9²m

Since both roof sides are equally long because the ridge is in the middle, it follows:

2 x a² = 81m

a² = 40.5m

a = 6.4m (rounded)

The triangle area is basically half of a square with side lengths of 6.4m (this only applies for the roof pitch of 45° since your angle at the ridge would then be 90°!)

A = 0.5 * 6.4m * 6.4m
A = 20.48m²

V2 = A * house length
V2 = 20.48m² * 10m

V2 = 204.8m³

Vtotal = V1 + V2
Vtotal = 405m³ + 204.8m³

Vtotal = 609.8m³

That’s how I’d estimate it.

Mind you, I don’t know how thick the foundation slab is or what the floor height would be.

Also, the volume of the roof is not included yet.

That would then be:

roof length * house length * roof thickness

6.4m x 2 (because 2 roof sides) * 10m * 0.35m (???)

Vroof = 44.8m³

Hope I explained it somewhat clearly and didn’t make any mistakes...

Hello,

can someone help me calculate the cubature of a house? I once talked to a construction company and they said that the costs are roughly €400-450 per m³ of enclosed space.

That doesn't really help you because it does not take into account that Aachen and the surrounding area now belong to earthquake zone II to III. For your new construction project, static measures will certainly have to be taken (in addition). The choice of the stone to be used will definitely become another issue.

Better calculate the other way around for Aachen; based on square meters and here with €1,600.00/m². This value does not always fit - it depends on the architecture and size of the planned construction project, but it is a good indicator for construction projects in this shaky region.

Rhenish regards