Geometry Problem Solver

Cube and prism together

cube	prism

Cube 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 cube and prism together, are about 2 x 7 problems on cube x 150 problems on prism = 2,100

Track 1

A cube has a diagonal of 28.284 cm; Knowing that a regular quadrangular prism has the base area equal to the lateral area of the cube and that its height measures 30 cm, it calculates the total area of the prism.

Track 2

A cube, with the lateral area of 400 cm², is surmounted by a rectangular square prism. Knowing that the base edge of the prism is 1/4 of the edge of the cube and that the total compound solid height is 30 cm, it calculates the total area and the volume of the solid.

Track 3

The area of the total area of a cube with the edge of 27 cm is equivalent to the lateral area of a regular triangular prism that has the same height as 5/3 of the cube edge. Calculates the total area of the prism and the volume.

Track 4

A cube has a volume of 1000 cm³. A prism has a rectangular triangle with a cathetus of 24 cm and a hypotenuse of 30 cm. Knowing that its height is congruent to sixfold of the cube edge, it calculates the lateral area, the total area and the volume of the prism.

Track 5

A cube has a volume of 1000 cm³. A rhomboid prism has a volume of 14400 cm³, a diagonal of rhombus is of 48 cm; The other diagonal is congruent to twice of the cube edge. Calculates the total area 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 edge of a congruent cube to 1/3 of the prism.

Track 7

A cube has a volume of 1000 cm³. Calculates the volume of a prism having the base area congruent to the base area of the cube and the height of 20 cm.

Track 8

A cube has a volume of 1000 cm³. Calculates the volume of a prism having the base area congruent to 2/4 of the lateral area of the cube and a height of 20 cm.

Track 9

A cube has a volume of 1000 cm³. Calculates the volume of a prism having a congruent height to 2/4 of the diagonal of the cube and the base area of 500 cm².

Cube alone

Prism alone