Solid geometry, stereometry - page 94 of 120
Number of problems found: 2399
- Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Cuboid edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm. - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume? - Dimensions 7915
The cuboid’s dimensions are in the ratio of 16:12:8, and the sum of these dimensions is 180 dm. What are the dimensions of the cuboid? - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube.
- Prism dimensions
We will double one block dimension and reduce the other by a third. How does its volume change? - Cylinder - h2
The cylinder volume is 2.6 liters. The base area is 1.3 dm². Calculate the height of the cylinder. - Percentage 39373
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³? - Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage? - Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
- Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube? - Dimensions 47111
The block's dimensions are 9:5:4. Determine its volume if you know that the sum of the longest and shortest edges is 65 cm. - Rectangular 79594
The ratio of the number of liquids to the solid components of the diet in (kg) should be about 7:2. Show in a rectangular coordinate system the dependence of the amount of a solid food component on its total amount. - Percentage 61594
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm. - Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl).
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