Solid geometry, stereometry - page 92 of 123
Number of problems found: 2441
- Cube edge calculation
What is the edge size of a cube with an area of 37.5 m²? - Surface - cube
What is the length of the edge of the cube, the surface of which is 384 dm² - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Aquarium water calculation
A block-shaped aquarium with dimensions of 82 cm, 30 cm, at 7.6 cm is filled with 70% water. How many liters of water is in it? What height does the water reach? From what% of the sidewall area is wetting? - Ice Rink Water Volume
The rectangular rink with dimensions of 50 m and 25 m should be covered with a layer of ice 4 cm high. How many liters of water are needed to make ice if the ice volume is 10% greater than the volume of water? - Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - Pyramid volume side
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm. - Sphere volume
The surface of the sphere is 535 m². What is its volume? - Cube and sphere
A cube with a surface area of 150 cm² is inscribed in a sphere. What is the surface area of the sphere? - Balls
Ping-pong balls have a diameter of approximately 5.5 cm. It is sold in boxes of 8 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Metal sheets
How much metal sheet is needed to produce eight 4 m long and 12 cm in diameter gutters? During production, joints are calculated at 3% of total consumption. - Cube edge
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface. - Cylinder
The cylinder-shaped container has 80 liters of water. The water reaches 45 cm in height. How many water liters will be in a container if the water level extends to a height of 72 cm? Write the result in liters. Write down only as a whole or decimal number - Aquarium water calculation
The cube-shaped aquarium with an edge length of 40 cm is filled with 70% water. How many liters of water are in the aquarium, and how high does the water reach? - Aquarium height
The aquarium has the shape of a prism with a trapezoidal base. The length of the basic trapezoid is 60 cm and 80 cm, and the height of the trapezoid is 70 cm. The aquarium holds 196 liters of water. How tall is the aquarium? - Pool filling time
How long in an hour will a 30 m, 15 m, and 2 m pool be filled with water flowing at 900 l / min if it is 90% full? - Surface of Rotating Cone
The rotating cone has a height of 20 cm and a radius of 18 cm. Calculate its surface. - Water tank
A 288 hectoliter of water was poured into the tank with dimensions of 12 m and, 6 m bottom, and 2 m depth. What part of the volume of the tank water is occupied? Calculate the surface of the tank wetted with water. - Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Silo capacity
The cylinder-shaped silo (d = 2.8 m and v = 9 m) is 65% filled. How much silage can we store in it?
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