Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm
Correct answer:
Tips for related online calculators
Do you want to convert length units?
See also our right triangle calculator.
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.
See also our right triangle calculator.
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- arithmetic
- square root
- square (second power, quadratic)
- planimetrics
- Pythagorean theorem
- right triangle
- polygon
- triangle
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. base and walls are equilateral. Calculate the surface of this pyramid. - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Triangular pyramid
Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm. - Triangular 46641
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume.
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Triangular 80766
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Equilateral 83322
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500kg/m³? - Triangular prism - regular
The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism. - Quadrilateral 8219
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7dm.
- Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height) - Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - Tetrahedron 5844
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - Triangular pyramid
Calculate a regular triangular pyramid's volume and surface area with a height equal to the base edge 10 cm long.
- Quadrilateral 8220
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm. - Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m. - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.