Solid geometry, stereometry - page 74 of 123
Number of problems found: 2441
- Cylinder volume circumference
Calculate the volume of the cylinder if the circumference of the base o = 31.4 cm, height v = 6.4 cm - Surface and volume - cube
Find the surface and volume of a cube whose face diagonal is 5 cm long. - Hexagonal prism
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. - Cube 5
The surface area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface, and volume. - Deep pool - bottom
A pool is 25 m long and 12 m wide. In one half of the pool, the depth is constant at 1.8 m; in the other half, the bottom slopes gradually up to a depth of 1.2 m. What is the total area of the pool bottom? - 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. - Bricks wall
There are 5000 bricks. How high wall thicknesses of 20 cm around the area, which has dimensions of 20 m and 15 m, can use these bricks to build? Brick dimensions are 30 cm, 20 cm, and 10 cm. - Two balls
Two balls, one 8 cm in radius and the other 6 cm in radius, are placed in a cylindrical plastic container 10 cm in radius. Find the volume of water necessary to cover them. - Oceans
The Earth's surface is approximately 510,000,000 km² and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5, and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean? - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Cube edge Calculate the size of the cube edge if the diagonal of the wall is 8 cm.
- Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Calculate the cylinder
Calculate the volume of a cylinder, given: S = 144π cm² height = 6 cm - Cuboid height base
The volume of the cuboid is 3/25 m³. The base area is 6/25 m². What is its height? - Cube edge volume
Calculate a cube's surface area and edge if its volume equals 3375 cubic meters. - Block diagonal
Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters. - Gift wrapping paper
The sheet of wrapping paper measures 100 cm and 70 cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm? - Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Pipe thickness
The outer circumference of the tube is 32 cm. Its length is 60 cm, its density is 8.5 g/cm3, and its weight is 9.495 kg. Calculate the wall thickness of the pipe.
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