Regular pyramids
Types of exercises: regular pyramid - heights, area and volume, angles in a regular square pyramid.
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Compute the tangent of the angle between a lateral edge and the plane of the base
A regular square pyramid has a base edge of 10 cm and a height of 18 cm.
Compute the slant height of a lateral face of the pyramid
A regular square pyramid has a base edge of 16 cm and a height of 15 cm.
Compute the volume of the pyramid
A lateral edge of a regular square pyramid is 2 cm long and makes an angle of 60° with the plane of the base.
Compute the length of a lateral edge of the pyramid
A regular square pyramid has a base edge of 24 cm and a height of 9 cm.
Compute the height of the pyramid
A lateral edge of a regular square pyramid is 4 cm long and makes an angle of 45° with the plane of the base.
Compute the length of a base edge of the pyramid
A regular square pyramid has a height of 12 cm, and the slant height of a lateral face is 15 cm.
Compute the tangent of the angle between a lateral face and the plane of the base
A regular square pyramid has a base edge of 6 cm and a height of 4 cm.
Compute the length of a lateral edge of the pyramid
A regular square pyramid has a base edge of 10 cm, and the slant height of a lateral face is 13 cm.
Compute the volume of the pyramid
A regular square pyramid has a base edge of 10 cm, and its lateral faces make an angle of 30° with the plane of the base.
Compute the volume of the pyramid
A regular triangular pyramid has a base edge of 3 cm and a height of 13 cm.
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