Solid geometry, stereometry - page 51 of 120
Number of problems found: 2398
- Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm².
- 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.
- Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, a height of 4 cm, and 5 cm long arms.
- The wall
The wall in the bathroom has dimensions of 2.8 m and 2.6 m. Suppose we would like to cover this wall to a height of 1.6 m. How many square meters of tiles do we need to buy?
- Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.
- Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm.
- Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell?
- Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm.
- Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level?
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
- Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid.
- 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.
- Quadrilateral 44561
The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid.
- Fairy-tale 33711
How much paper was spent on gluing 12 fairy-tale children's cubes with an edge 3.8 cm long?
- Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank?
- Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, and | BC | = 4 cm. Determine the height and radius of the cylinder created by rotating the rectangle around the line AB.
- Cylindrical 27733
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many square meters is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)?
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Determine 10561
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. If the nickel density is 9000 kg/m3, determine its weight.
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