Solid geometry, stereometry - page 73 of 121
Number of problems found: 2402
- Diameter 46141
The road roller has a diameter of 1.4 m and a length of 160 cm (a) how many square meters the road rolls when it turns 95 times b) how many times does it turn when rolling a 3 km-long section
- 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?
- Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm².
- Cylinder height
Calculate the height of the cylinder and its surface is 2500 dm2, and the bases have a diameter of 5dm.
- Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
- Diameter
What is the inside diameter of the cylinder container if half a liter of water reaches a height of 15 cm?
- Wall diagonal
Calculate the length of the wall diagonal of the cube, whose surface is 384 cm square.
- Floor
The rectangular floor of the living room has a length of 5.4 meters and a circumference of 17.2 meters. What is its width?
- 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 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)
- Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
- Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes
- How many
How many cans of blue paint need to be bought if the interior of the garden pool, which is 5 m long, 3 m wide, and 1 m deep, is to be painted? There is 1 kg of paint in each can. One can is enough for 8 m² of area.
- Support colum
Calculate the support column's volume and surface. It is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. The column height is 1. 5m.
- Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm.
- Dimensions 82604
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes?
- Centimeters 4081
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters.
- The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed?
- Pyramid roof
3/5 of the area of the roof-shaped regular tetrahedral pyramid with base edge 9 m and height of 6 m is already covered with roofing. How many square meters still need to be covered?
- The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house?
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