To find the volume of the pyramid, you need to know several formulas. Consider them.
How to find the volume of the pyramid - the 1st way
The volume of the pyramid can be found with the help of the height and the area of \u200b\u200bits base. V \u003d 1/3 * s * h. For example, if the height of the pyramid is 10 cm, and its base is 25 cm 2then the volume will be equal to V \u003d 1/3 * 25 * 10 \u003d 1/3 * 250 \u003d 83.3 cm 3
How to find the volume of the pyramid - 2nd way
If at the base of the pyramid lies the correct polygon, then it is possible to find its volume according to the following formula: V \u003d Na 2h / 12 * TG (180 / N), where a is the side of the lying in the base of the polygon, and n is the number of its parties. For example: Based on the right hexagon, that is, n \u003d 6. Since it is correct, all of it is equal, that is, all A are equal. Let's say a \u003d 10, and h - 15. Insert numbers in the formula and get an approximate answer - 1299 cm 3
How to find the volume of the pyramid - 3rd way
If at the base of the pyramid lies an equilateral triangle, then its volume can be found according to the following formula: V \u003d HA 2/ 4√3, where A is the side of the equilateral triangle. For example: the height of the pyramid is 10 cm, the base side is 5 cm. The volume will be equal to V \u003d 10 * 25/4 √3 = 250/4√3. Usually what happened in the denominator is not calculated and left in the same form. You can also multiply the numerator, and the denominator for 4 √3. We get 1000. √3/48. By shorting, we get 125. √3/6 cm 3.
How to find the volume of the pyramid - 4th way
If at the base of the pyramid lies the square, then its volume can be found according to the following formula: V \u003d 1/3 * H * A 2Where a - side of the square. For example: height - 5 cm square side - 3cm V \u003d 1/3 * 5 * 9 \u003d 15 cm. 3
How to find the volume of the pyramid - the fifth way to
If the pyramid is a tetrahedron, that is, it has all the facets - equilateral triangles, find the volume of a pyramid can be according to the following formula: V \u003d a 3√2 / 12 where a - a rib of the tetrahedron. For example: the edge of the tetrahedron \u003d 7. V \u003d 7 * 7 * 7√2 / 12 \u003d 343 cm 3
0
573
