Pyramid practice problems - page 10 of 14

Number of problems found: 262

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.
Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid.
Quadrilateral 6353
Given is a regular quadrilateral pyramid with a square figure. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.
The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid.
Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface.
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.
4s pyramid
A regular tetrahedral pyramid has a base edge a=8 and a collateral edge length b=20. What is its height?
Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm.
Quadrilateral pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm.
Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture.
Calculate 46151
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area.
Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV.
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
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.
Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
Quadrilateral 6116
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm.
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.
Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm.

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