Solid geometry, stereometry - page 51 of 121
Number of problems found: 2409
- 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? - Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m². - The Indian tent
The Indian tent is cone-shaped. Its height is 3.5 m. The diameter of the base is 2.5 m. How much canvas is needed to make a tire? - Half-sphere roof
The roof above the castle tower has the shape of a 16 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents? - 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. - Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - 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. - Water pool
What is the water level in the pool-shaped cuboid with bottom dimensions of 25 m and 10 meters? When is 3750hl water in the pool? - Aquarium
An aquarium is a rectangular box with a square base containing 62 liters of water. The length of the base edge is 34 cm. To what height does the water level rise? - 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. - Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres? - Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm. - 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. - Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm. - Trapezoidal 6110
Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base. The bases are 2.3 dm and 1.6 dm long, and the pyramid's height is 1.8 dm. - Circumference 4002
Calculate the diagonal of the cube, with the circumference of one of its walls being 48 cm. Then, determine its surface and volume. - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - Density of the concrete
If the weight of the cuboid-shaped column is 200 kg, find the density of the concrete with dimensions 20 x 20 cm x 2 m. - Triangular prism Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
- Surface area
Calculate the surface area of a four-sided 2-m high prism whose base is a rectangle with sides of 17 cm and 1.3 dm.
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