Solid geometry, stereometry - page 75 of 123
Number of problems found: 2441
- 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. - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Surface - formula
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =? - Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Totem shed fitting
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all? - A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a - Cylinder volume calculation
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder? - Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c? - Trunk
Calculate the length of the longest fishing rod that can be placed in a car boot with dimensions 152 × 82 × 81 cm. - Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - 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? - Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked porti - Cube edges
The sum of the lengths of the cube edges is 48 cm. Calculate the surface of the cube. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
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