Hello everyone,
Can someone help me calculate the volume of a house? I spoke with a construction company, and they said that the costs are roughly 400–450 € per cubic meter of enclosed space.
They mentioned that I need to measure from the bottom edge of the foundation slab up to the top edge of the roof.
I plan to build a house with a base area of 9 meters by 10 meters, a 45° pitched roof, and a knee wall height of 110 cm (43 inches). So, I believe it is a one and a half-story design.
How can I calculate the volume with the given information and requirements? Specifically, from the bottom edge of the foundation slab to the top edge of the roof, considering that there is no full upper floor?
I especially want to learn and understand how to do this so I can calculate it myself for other dimensions.
Best regards,
Yavuz
Can someone help me calculate the volume of a house? I spoke with a construction company, and they said that the costs are roughly 400–450 € per cubic meter of enclosed space.
They mentioned that I need to measure from the bottom edge of the foundation slab up to the top edge of the roof.
I plan to build a house with a base area of 9 meters by 10 meters, a 45° pitched roof, and a knee wall height of 110 cm (43 inches). So, I believe it is a one and a half-story design.
How can I calculate the volume with the given information and requirements? Specifically, from the bottom edge of the foundation slab to the top edge of the roof, considering that there is no full upper floor?
I especially want to learn and understand how to do this so I can calculate it myself for other dimensions.
Best regards,
Yavuz
I’m not sure about the thickness of the slab or the floor-to-ceiling heights you have, but here’s how I would calculate it:
V1 = h (height of slab + ground floor + upper floor up to the top of the knee wall) * length * width
V1 = (0.4m (15.7 inches) + 3m (9.8 feet) + 1.1m (3.6 feet)) * 9m (29.5 feet) * 10m (32.8 feet)
V1 = 4.5m (14.8 feet) * 9m (29.5 feet) * 10m (32.8 feet)
V1 = 405m³ (14,309 ft³)
V2 = volume from the top of the knee wall to the ridge
V2 = area of the “45-degree triangle” * house length
First, calculate the length of the roof sides.
Imagine the triangle as an isosceles triangle with the width of the house, so:
a² + b² = c²
c = house width
therefore
a² + b² = 9²m (29.5 feet)
Since both roof sides are equal (the ridge is in the middle):
2 × a² = 81m² (871 ft²)
a² = 40.5m² (436 ft²)
a = 6.4m (21 feet) (rounded)
The triangle area is basically half of a square with sides of 6.4m (applies only with a 45° roof pitch, since your ridge angle would then be 90°)
A = 0.5 × 6.4m (21 feet) × 6.4m (21 feet)
A = 20.48m² (220.5 ft²)
V2 = A × house length
V2 = 20.48m² (220.5 ft²) × 10m (32.8 feet)
V2 = 204.8m³ (7,233 ft³)
Total volume = V1 + V2
Total volume = 405m³ (14,309 ft³) + 204.8m³ (7,233 ft³)
Total volume = 609.8m³ (21,542 ft³)
That’s how I would estimate it.
Keep in mind, I don’t know the slab thickness or the exact floor heights.
Also, the volume of the roof structure itself is not included yet.
For that, you would add:
Roof length × house length × roof thickness
6.4m × 2 (for two roof sides) × 10m × 0.35m (???) (1.15 feet)
Roof volume = 44.8m³ (1,581 ft³)
Hope I explained this clearly and didn’t make any mistakes...
V1 = h (height of slab + ground floor + upper floor up to the top of the knee wall) * length * width
V1 = (0.4m (15.7 inches) + 3m (9.8 feet) + 1.1m (3.6 feet)) * 9m (29.5 feet) * 10m (32.8 feet)
V1 = 4.5m (14.8 feet) * 9m (29.5 feet) * 10m (32.8 feet)
V1 = 405m³ (14,309 ft³)
V2 = volume from the top of the knee wall to the ridge
V2 = area of the “45-degree triangle” * house length
First, calculate the length of the roof sides.
Imagine the triangle as an isosceles triangle with the width of the house, so:
a² + b² = c²
c = house width
therefore
a² + b² = 9²m (29.5 feet)
Since both roof sides are equal (the ridge is in the middle):
2 × a² = 81m² (871 ft²)
a² = 40.5m² (436 ft²)
a = 6.4m (21 feet) (rounded)
The triangle area is basically half of a square with sides of 6.4m (applies only with a 45° roof pitch, since your ridge angle would then be 90°)
A = 0.5 × 6.4m (21 feet) × 6.4m (21 feet)
A = 20.48m² (220.5 ft²)
V2 = A × house length
V2 = 20.48m² (220.5 ft²) × 10m (32.8 feet)
V2 = 204.8m³ (7,233 ft³)
Total volume = V1 + V2
Total volume = 405m³ (14,309 ft³) + 204.8m³ (7,233 ft³)
Total volume = 609.8m³ (21,542 ft³)
That’s how I would estimate it.
Keep in mind, I don’t know the slab thickness or the exact floor heights.
Also, the volume of the roof structure itself is not included yet.
For that, you would add:
Roof length × house length × roof thickness
6.4m × 2 (for two roof sides) × 10m × 0.35m (???) (1.15 feet)
Roof volume = 44.8m³ (1,581 ft³)
Hope I explained this clearly and didn’t make any mistakes...
B
Bauexperte27 Jan 2016 12:57Hello,
That’s not very helpful because it doesn’t take into account that Aachen and its surrounding areas are now classified as seismic zones II to III. For your new construction project, additional structural measures will almost certainly be required. The choice of building material is also likely to be an important consideration.
It’s better to calculate differently for Aachen; use the floor area instead, with about €1,600.00 per square meter (approximately 10.7 square feet). This figure doesn’t always apply, depending on the architecture and size of the planned building, but it’s a good benchmark for projects in this somewhat unstable region.
Best regards, Bauexperte
juus1 schrieb:
Can someone help me calculate the volume of a house? I once spoke to a construction company, and they said the cost is roughly 400-450 € per cubic meter of enclosed space.
That’s not very helpful because it doesn’t take into account that Aachen and its surrounding areas are now classified as seismic zones II to III. For your new construction project, additional structural measures will almost certainly be required. The choice of building material is also likely to be an important consideration.
It’s better to calculate differently for Aachen; use the floor area instead, with about €1,600.00 per square meter (approximately 10.7 square feet). This figure doesn’t always apply, depending on the architecture and size of the planned building, but it’s a good benchmark for projects in this somewhat unstable region.
Best regards, Bauexperte
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