Solid geometry, stereometry - page 72 of 121
Number of problems found: 2409
- Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Volume 81001
The volume of the cuboid is 3/25 m³. The base area is 6/25 m². What is its height? - One-quarter 46001
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Quadrilateral 24541
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm. - Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - Quadrilateral 6353
Given is a regular quadrilateral pyramid with a square figure. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V. - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface. - Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Slant height
Find the cone's volume. The cone's slant height is 5cm, and the radius of its base is 3cm. - Perimeter of base
The circumference of the base of the rotating cylinder is the same as its height. What is the diameter and height of this cylinder with a volume of 1 liter? - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Cuboid surface
Determine the surface area of the cuboid if its volume is 52.8 cm cubic and the length of the two edges are 2 cm and 6 cm. - Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly? - Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm. - Beautiful garden
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l? - 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? - 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. - Crosswise
The gift box should be tied "crosswise." How many ribbons will be needed in total if the box dimensions are 40 cm, 30 cm, 10 cm, and 50 cm of ribbon required for the bow?
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