Solid geometry, stereometry - page 49 of 121

Number of problems found: 2409

Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm², and its height is 80 mm. Determine its surface area and volume.
Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm², and the body height is 10 cm. Calculate the body volume.
Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume.
Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
Cylindrical 71714
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 cm?
Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm.
Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm.
Cross-section 35063
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m?
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?
Quadrilateral 14093
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain?
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.
Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
Diameter 6032
The road roller is 2 m long and 1 m in diameter. How many square meters of road roll when it turns 15 times?
Circumference 3370
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long.
Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm.
Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm².
Quadrilateral pyramid
Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6cm, b = 4cm, and height v = 11cm
Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.

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