Geometry Problem Solver

Parallelepiped and pyramid together

parallelepiped	pyramid

Parallelepiped alone

Pyramid alone

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples. Only the problems already tested are reported. In fact, the problems solved by the geometric computer, but not tested, with a parallelepiped and pyramid together, are about 2 x 20 problems on parallelepiped x 200 problems on pyramid = 80,000

Track 1

A solid is the sum between a parallelepiped and a quadrangular pyramid with the base edges coinciding with the edges of the upper face of the parallelepiped. Knowing that the parallelepiped has the base edge 20 cm long, the lateral area of the parallelepiped is 4000 cm² and the total area of the solid surface is 5440 cm², it calculates the height and volume of the pyramid.

Track 2

A rhomboid pyramid has long base diagonals respectively of 40 cm and 30 cm; Has a height of 16 cm. Calculates the height of a parallelepiped congruent to the pyramid and having the basic perimeter equal to 5/2 of the pyramid apothem and the base dimensions a 2/3 of the other.

Track 3

A rhomboid pyramid has long base diagonals of 40 cm and 30 cm, respectively; Has a height of 16 cm. Calculates the volume of a parallelepiped having the base area congruent to the base area of ??the pyramid and a height of 20 cm.

Track 4

A rhomboid pyramid has long base diagonals of 40 cm and 30 cm, respectively; Has a height of 16 cm. Calculates the volume of a parallelepiped having the congruent base area at 2/4 of the lateral area of the pyramid and a height of 20 cm.

Track 5

A rhomboid pyramid has long base diagonals of 40 cm and 30 cm, respectively; Has a height of 16 cm. Calculates the volume of a parallelepiped having a congruent height of 2/4 of the pyramid apothe and the base area of 500 cm².

Track 6

A rectangular parallelepiped has a base area of 400 cm² and a height of 50 cm. Calculates the height of a rhomboidal pyramid congruent to the parallelepiped and having the base diagonals long respectively 40 cm and 30 cm.

Track 7

A rectangular parallelepiped has a base area of 400 cm² and a volume of 20000 cm³. Calculates the volume of a rhomboid pyramid with long base diagonals respectively of 40 cm and 30 cm and the congruent height at 8/25 of the height of the parallelepiped.

Parallelepiped alone

Pyramid alone