Geometry Problem Solver

Sphere and prism together

prism	sphere

Sphere alone

Prism 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 sphere and prism together, are about 2 x 9 problems on sphere x 150 problems on prism = 2,700

Track 1

A sphere has a volume of 36 π cm³. Knowing that a regular quadrangular prism has the area of the base equal to the total area of the sphere and that its height measures 30 cm, it calculates the total area of the prism.

Track 2

A sphere has a volume of 36 π cm³. Calculates the volume of a prism having the base area congruent to the total area of the sphere and the height of 20 cm.

Track 3

A sphere has a volume of 36 π cm³. Calculates the volume of a prism having the base area congruent to 2/4 of the total area of the sphere and the height of 20 cm.

Track 4

A sphere has a volume of 36 π cm³. Calculates the volume of a prism having the congruent height to 2/3 of the sphere radius and the base area of 500 cm².

Track 5

A 40 cm high prism has on base an isosceles triangle. The oblique side and the height of the triangle measure respectively 30 cm and 24 cm. Calculates the radius of a congruent sphere at 1/3 of the prism.

Track 6

A 40 cm high prism has on base an isosceles triangle. The oblique side and the height of the triangle measure respectively 30 cm and 24 cm. Calculates the radius of a congruent sphere at the prism.

Sphere alone

Prism alone