Solid geometry, stereometry - page 59 of 123
Number of problems found: 2441
- Cube surface calculation
Find the surface of the cube with an edge of 7.2 cm. - Cube surface area
The wall of the cube has an area of 97 cm². What is the surface of the cube? - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14 m and 10 m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Cylinder - V,r,h
What is the volume of a cylinder with a radius of 11.3 cm and a height of 28 cm? - Cylinder volume surface
Calculate the volume and surface of the cylinder r = 4 cm, v = 6 cm. - Square prism
A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism? - Surface area 8
What is the surface area of a cylinder if the diameter is 15 m height is 7 m? - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area - Pyramid cube melting
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't - Aquarium depth capacity
The aquarium is 0.7 m long and 25 cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this. - Pool water space
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Room painting cost
In the block-shaped room, the floor has dimensions of 4 m and 3.5 m. The volume of this room is 35 m³. How much will it cost to paint this room if we pay €1.2 for 1 m² of paint (remember that we will not paint the floor)? - Cuboid surface calculation
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Octagonal tank
The tank has the shape of a regular octagonal prism without an upper base. The base edge has a = 3 m, and the side edge b = 6 m. How much metal sheet is needed to build the tank? Do not think about losses or sheet thickness. - Cube surface
Calculate the surface of a cube whose edge measures 8 dm. - Advertising column
An advertising column has the shape of a triangular prism. The height of the prism is 3.5 metres, and the lengths of the base edges are 1.1 m, 2 m, and 2 m. The lateral surface of the prism forms the advertising space. The town pays 35,000 CZK for its pro - Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m². - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2 cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm².
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