Examples of area of plane shapes - page 114 of 126
Number of problems found: 2505
- Children's 8246
We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy? - Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell? - Round up - fountain
A fountain, which is cylindrical in shape with a base diameter of 2m, is 25cm deep. How many liters of water can it hold? Round the result to a whole number. - Bottom diameter
Milan poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level in the glass reach? - Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms. - Axial section
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base. - 3S pyramid
A vertical regular 3-sided pyramid is given. The side of the base a = 5 cm, and the height is 8 cm. Calculate the volume and area.
- Side deviation
Frustum has the base radii of the figures r1 and r2: r1> r2, r2 = s, and if the side deviation from the base plane is 60°. Express the surface and volume of the cone frustum using its side s. - Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Tetrahedron - surface
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - Diameter
What is the inside diameter of the cylinder container if half a liter of water reaches a height of 15 cm? - Square prism
Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm - Cube edge
Determine the cube's edges when the surface is equal to 37.5 cm square. - Greenhouse
The Garden plastic greenhouse is shaped like a half-cylinder with a diameter of 6 m and a base length of 20 m. At least how many m² of plastic is needed for its cover?
- 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? - Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Fifty-meter 80722
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube.
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