Solid geometry, stereometry - page 21 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2283
- The rainwater
The rainwater container has the shape of a block whose bottom has dimensions of 4.5 m and 3.5 m. It is partially filled with water. What is the level if there is 189 hl of water in it? - Capacity 70404
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - Centimeters 82219
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Block-shaped 81632
The block-shaped pool is 40 meters long and 18 meters wide. Ten thousand eight hundred hectoliters of water were poured into it. How high is the water in it (how deep is the pool)? - Aquarium height
How high does the water in the aquarium reach if there are 36 liters of water in it? The length of the aquarium is 60 cm, and the width is 4 dm. - The tank
The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank? - The aquarium
The aquarium is 120 cm long, 70 cm wide, and 96 cm high. How high does the water reach if we fill it with 168 liters? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Aquarium 6
How high is the water level in the aquarium with a rectangular base of 40cm and 50cm if it is filled with 0,65hl of water? - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Calculate 2946
The block's surface area is 94 cm². The lengths of its two edges are a = 3 cm and b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c. - Calculate 63764
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface. - Barrel-shaped 40601
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Calculate 8881
A solid wooden ball made of beech wood weighs 800 g. Calculate its diameter if the wood density is pi = 750 kg/m3 - Rectangle 4523
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl? - Edges of the cuboid
Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; height is 5.8 dm, and the block can hold 81.2 liters of fluid. - Bottle
A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the height of the cylinder must be five times the radius. - Determine 82012
There is a 30 cm layer of sand in the landing area. Determine the width of the landing pad if its length is 5 m and the volume of sand in it is 2.7 m³. - Dimensions 6190
The juice box with a volume of 1 l has two dimensions, 6 cm and 165 mm. Calculate the third dimension of the box. - A plasticine
Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?
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