Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
Correct answer:
Tips for related online calculators
See also our right triangle calculator.
Do you want to convert length units?
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.
Do you want to convert length units?
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- geometry
- similarity of triangles
- algebra
- expression of a variable from the formula
- arithmetic
- square root
- solid geometry
- similarity bodies
- pyramid
- frustum
- planimetrics
- Pythagorean theorem
- right triangle
- polygon
- area of a shape
- triangle
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof. - Calculate 36263
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Base diagonal
In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees. - Quadrangular pyramid
The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Calculation 81401
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer). - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge has 4 centimeters, and the height of the sidewall is 12 centimeters. - Calculate
Calculate the surface of a regular eleven-sided prism; if the area of its base is 58 cm2, the edge of the base is 6cm long, and the height of the prism is 21 cm. - Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area. - Deviation 4905
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Quadrilateral 44471
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - 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.