The volume of pyramid problems - last page
Number of problems found: 153
- Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - 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. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - 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. - Pyramid a+h Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Pit
The pit is 0.8 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.6 l of green paint. How many liters of paint are n
- Pentagonal pyramid
Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees. - Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 10, b = 19, and height is h = 28.
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