Solid geometry, stereometry - page 73 of 123
Number of problems found: 2442
- Surface and volume - cube
Find the surface and volume of a cube whose face diagonal is 5 cm long. - Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. - 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? - Cube
The sum of all cube edges is 30 cm. Find the surface area of the cube. - 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. - 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? - Glass label paper
We want to stick labels on the glasses. The labels stick right around the glass. The diameter of the cup is 6 cm. The height of the label is 10 cm. a) How many labels will we make from 30 x 40 cm paper? b) How many papers of this size will we use to make - 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. - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Garden watering
Thirty watering cans of 8 liters of water are brought to the rectangular garden measuring 15 m and 10 m. During the rain, 2 mm of water fell on the garden. When was the flowerbed more watered? - 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. - Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high. - 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. - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Sphere equation
Find the equation of a sphere whose centre lies on the line defined by 3x + 2z = 0 and 4x − 5y = 0, and which passes through the points (0, −2, −4) and (2, −1, 1). - Cube diagonals
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters. - Wall diagonal
Calculate the length of the face diagonal of the cube, whose surface is 384 cm square.
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