Area of a shape + perimeter - practice problems - page 19 of 20
Number of problems found: 381
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm, and the body height is 6cm.
- Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted? - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 5 cm and one cathetus 2 cm. The height of the prism is equal to 7/9 of the base's perimeter. Calculate the surface area of the prism. - Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height) - Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times? - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle.
- Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm. - Calculate 31991
Calculate the volume and surface of a prism whose height is 16 cm, and the base is in the shape of a right triangle with 5cm and 12cm trunks and a 13cm diaphragm. - The hollow cylinder
The hollow cylinder has a height of 70 cm, an outer diameter of 180 cm, and an inner diameter of 120 cm. What is the body's surface, including the area inside the cavity? - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube. - Trapezoidal 46701
The prism with a trapezoidal base has the dimensions of the base a = 10 cm, b = d = 5 cm, c = 6 cm, the trapezoid height is 4.6 cm, and the height of the prism is 30 cm. Calculate its surface.
- Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it. - Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Concrete pipe
The concrete pipe is cylindrical with an inner diameter of 60 cm and an outer 67 cm. Calculate the surface of the concrete pipe if it is 10 m long. - Triangular prism
Calculate the surface of a regular triangular prism with a bottom edge of 8.5 meters and an appropriate height of 60 meters, and the prism height is 1.4 meters.
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