# Surface area + Pythagorean theorem - math problems

#### Number of problems found: 150

- Lateral surface area

The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone, if its height v = 4 cm. - Cube and sphere

Cube with the surface area 150 cm^{2}is described sphere. What is sphere surface? - Cone - from volume surface area

The volume of the rotating cone is 1,018.87 dm^{3}, its height is 120 cm. What is the surface area of the cone? - A concrete pedestal

A concrete pedestal has a shape of a right circular cone having a height of 2.5 feet. The diameter of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the lateral surface area, total surface area, and the volume of the pedestal. - Area of the cone

Calculate the surface area of the cone, you know the base diameter 25 cm and a height 40 cm. - Airplane

Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies? - Space diagonal

The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube. - Spherical cap

What is the surface area of a spherical cap, the base diameter 20 m, height 2 m. - Axial section

Axial section of the cylinder has a diagonal 40 cm. The size of the shell and the base surface are in the ratio 3:2. Calculate the volume and surface area of this cylinder. - Three faces of a cuboid

The diagonal of three faces of a cuboid are 13,√281 and 20 units. Then the total surface area of the cuboid is. - Cube

Calculate the surface of the cube ABCDA'B'C'D' if the area of rectangle ACC'A' = 344 mm^{2}. - Pyramid a+h

Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm. - Surface and volume

Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long. - Rotating cone

Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Regular 4-sided pyramid

Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m. - Center of the cube

The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube. - The plaster cast

The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Sphere vs cube

How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Prism

Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.

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Pythagorean theorem is the base for the right triangle calculator. Examples for the calculation of the surface area of the solid object . Pythagorean theorem - math word problems.