Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm, and the length of the edges of the base is 6 cm.
Correct answer:
Tips for related online calculators
See also our right triangle calculator.
Do you want to convert area units?
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
See also our trigonometric triangle calculator.
Do you want to convert area units?
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- solid geometry
- pyramid
- surface area
- planimetrics
- Pythagorean theorem
- right triangle
- area of a shape
- triangle
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum? - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm.
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - How to
How to find a total surface of a rectangular pyramid if each face is 8 dm high and the base is 10 dm by 6 dm?
- Frustrum - volume, area
Calculate the surface and volume of the truncated cone. The radius of the smaller figure is 4 cm, the height of the cone is 4 cm, and the side of the truncated cone is 5 cm. - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge a applies: V = 2.8 m³, v = 2.1 m - 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. - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Diameter 44511
The tower's roof has the shape of a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover?
- The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof, if the perimeter of its base is 15.7m and a height of 30dm - Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. To avoid attracting attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal?