CalcCalculadora de Volume da Pirâmide
Última atualização: 2026-05-09
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| base | lado_b | lado_c | Altura | |
|---|---|---|---|---|
| Caso basico | 2.4 | 2.0 | 2.0 | 3.2 |
| Caso tipico | 4.2 | 3.5 | 3.5 | 5.6 |
| Caso medio | 6.0 | 5.0 | 5.0 | 8.0 |
| Caso avanzado | 9.0 | 7.5 | 7.5 | 12.0 |
| Caso extremo | 15.0 | 12.5 | 12.5 | 20.0 |
Rectangular Pyramid Volume Calculator
A rectangular pyramid is a geometric solid with a rectangular base and four triangular faces that converge at a single vertex. This calculator computes the volume from the length, width and height of the pyramid.
Rectangular pyramid volume formula
The volume is one-third of the base area multiplied by the height:
V = (1/3) × l × w × h
Where l is the base length, w is the base width and h is the perpendicular height from the base to the vertex.
Example 1: pyramid with integer dimensions
Problem: A pyramid has base l = 12 cm, w = 8 cm and height h = 10 cm.
- Base area:
- A_base = 12 × 8 = 96 cm².
- Volume:
- V = (1/3) × 96 × 10 = 320 cm³.
Answer: V = 320 cm³.
Example 2: pyramid with decimal measurements
Problem: A pyramid has base l = 5.5 m, w = 3.2 m and height h = 4.8 m.
- Base area:
- A_base = 5.5 × 3.2 = 17.6 m².
- Volume:
- V = (1/3) × 17.6 × 4.8 ≈ 28.16 m³.
Answer: V ≈ 28.16 m³.
Usos comuns
- Computing volumes of pyramidal structures in architecture and engineering.
- Estimating material quantities for pyramidal roofs and tents.
- Solving solid geometry problems in mathematics.
- Determining the capacity of inverted pyramid-shaped containers.
- Calculating volumes of earth mounds or construction material piles.
- Designing decorative elements and pyramidal sculptures.
Common mistakes when calculating pyramid volumes
- Forgetting the 1/3 factor and computing as if it were a rectangular prism.
- Using the triangular face height instead of the perpendicular pyramid height.
- Confusing base dimensions with the lateral edge lengths.
- Mixing units between length, width and height.
Dica profissional
The volume of any pyramid is always one-third of the volume of the prism with the same base and height. This universal rule applies regardless of the base shape (triangular, square, pentagonal, etc.).
Yes. The volume of any pyramid is V = (1/3) × Base_area × height. Only the base area formula changes depending on the base shape.
Surface area is the base area plus the area of the four triangular faces. Each triangular face has area = (1/2) × triangle_base × triangle_height.
The height is the perpendicular distance from the base to the vertex. The slant height is the height of each triangular face, measured from the vertex to the center of a base edge.
No, as long as the perpendicular height is maintained. Volume depends only on base area and perpendicular height, not on tilt.