# Area of shape + surface area - math problems

#### Number of problems found: 167

• Content area and percents Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
• 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.
• 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.
• Tereza The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
• Rotary cylinder The rotating cylinder has a surface area of 69.08 cm2. The area of the shell is 62.8 cm 2. What is the diameter of the cylinder?
• Reservoir 6 m long reservoir has a diameter of 2.2 m. What is its surface area in square meters?
• Surface of the cylinder Calculate the surface of the cylinder for which the shell area is Spl = 20 cm2 and the height v = 3.5 cm
• Land Land has a rectangular shape, its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land.
• Airplane Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
• Spherical cap What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
• Cube 5 The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• 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.
• Triangular prism The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area.
• The pyramid 4s The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of length 13 dm. Calculate the surface area and volume of this pyramid.
• Prism Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
• The funnel The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.
• Hexagonal pyramid Calculate the volume and surface area of a regular hexagonal pyramid with a base edge a = 30 m and a side edge b = 50 m.
• Cube wall The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
• Concrete pedestal The carpenters made wooden mold on a concrete pedestal in the shape of a cube with an edge 2 meters long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
• Cuboid and eq2 Calculate the volume of cuboid with square base and height 6 cm if the surface area is 48 cm2.

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Examples of area of plane shapes. Examples for the calculation of the surface area of ​​the solid object .