Solid geometry, stereometry - page 90 of 120
Number of problems found: 2399
- 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? - Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface. - A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area? - Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container. - Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Calculation 43211
The roof is shaped like a hemisphere with a diameter of 8 m. Calculate how much m² of roofing is needed to cover the entire top if we count 15% for waste and residues and round the result to tenths of m². Use the constant pi rounded to two decimal places - Trapezoidal 4031
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?
- Balls
Ping-pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 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. - Calculate 64584
The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - A capacity
Suppose the cylinder at the right holds a capacity of 2 205 cm³ and its base area of 105 cm². How high is the cylinder? - Connections 6133
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning. - 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 - Block-shaped 13521
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? - Rectangular 7215
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? - Calculate 81560
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone.
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers. - Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Calculate 6580
The rotating cone has a height of 20 cm and a radius of 18 cm. Calculate its surface. - Calculate A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
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