Geometry Problem Solver

The cube

Cube and pyramid together

Cube and cone together

Cube and cylinder together

Cube and parallelepiped together

Cube and prism together

Cube and sphere together

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples.

Track 1

A cube has the edge of 20 m. Calculate the lateral area, total area and the volume of the cube.

Track 2

The volume of a cylinder is 21990.50 cm ³ and its height is congruent to 7/2 of the edge of a cube, having the total surface area of 600 cm ². Calculate the area of the total area of the cylinder.

Track 3

A cube has the length of the diagonal of 28.28 cm ; knowing that a regular quadrangular prism has the area equal to the area of the base side of the cube and that its height is 30 cm , calculates the area of the total surface of the prism .

Track 4

The edge of a cube is congruent to the diagonal of a rectangular parallelepiped with dimensions of 24 cm, 32 cm and 30 cm . Calculate the area of the total area of the cube.

Track 5

A solid is the sum between a cube and a regular quadrangular pyramid having the edges of the base coincident with the edges of a face of the cube . Knowing that the area of a face is 784 cm ² and that the surface area of the solid is 6720 cm ² , calculates the length of the height of the pyramid and the volume.

Track 6

The edge of a cube is 30 cm long . Determines the size of a base of a parallelepiped rectangle 30 cm high , knowing that a base dimension is the double of the other and that the lateral surface of the parallelepiped is equivalent to the lateral surface of the cube.

Track 7

A cube , having the area of the lateral surface of 400 cm ² , is surmounted by a right prism with a square base . Knowing that the edge of the base of the prism is 1/4 of the cube corner and that the total height of the solid compound is 30 cm , calculates the area of the total surface and the volume of the solid.

Track 8

A regular quadrangular pyramid is equivalent to a cube whose total surface area is 600 cm ². Given that the height of the pyramid is 7.5 cm , calculate the area of the total area .

Track 9

You have to play 50 boxes of paper in the shape of a cube with the edge of 1 dm long . How many square meters of paper do I need?

Track 10

Calculate the diagonal and the volume of a cube having the side surface of 400 cm ² .

Track 11

Ill base perimeter of a cube measuring 40 cm. Calculate the measure of the side and the volume of the cube.

Track 12

The area of the total surface area of a cube with the edge of 27 cm is equivalent to the side of a first regular triangle that has a height equal to 5/3 of the cube corner . Calculate the area of the total surface of the prism and the volume.

Track 13

A parallelepiped is formed by 3 stacked cubes congruent. Knowing that the edge of each cube measuring 10 cm , calculates the area of the total surface and the volume of the solid.

Track 14

The area of the total surface area of a cube is congruent to the area of the side surface of a rectangular parallelepiped having the dimensions of the base respectively 30 cm long and 10 cm . Calculate the volume of the cube knowing that the base perimeter of the box is 8/3 height .

Track 15

The area of the total surface area of a cube is equal to the one side of a rectangular parallelepiped having the height of 30 cm long . Calculate the volume of the cube knowing that the dimensions of the parallelepiped are a triple of the other and their sum is 40 cm .