Solid geometry, stereometry - page 40 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: 2289
- Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Volume and area
What is a cube's volume with an area of 361 cm²? - Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic meters of gasoline? - Dimensions 70354
The volume of the cylinder is 5l, and the height is equal to half the diameter of the base. Find the dimensions of the cylinder.
- Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Decorations 81510
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m² - A cuboid
A cuboid has a volume of 768 cm3, and the edges marked x are equal in length. Calculate the value of x - The cube
The cube has a surface of 600 cm². What is its volume? - Edges or sides
Calculate the cube volume if the sum of the lengths of all sides is 276 cm.
- Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice. - Length 83358
A block-shaped pool has a length of 50m, width of 25m, and depth of 3.5 m. When the pool is filled 50 cm below the edge, how many hectoliters of water is in it? If we paint the inside of the pool two coats and you pay 50 cents per 1m2, how much - Calculate 19673
The surface of the sphere is 1256 cm². Calculate the radius of the sphere. - Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
- The cube
The cube has a surface area of 486 m². Calculate its volume. - Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo - Constructing 67634
During the construction of a 140-meter-long gas pipeline, a pit with vertical walls 1.5 m deep and 1 m wide must be created. A) How many cubic meters of soil must be dug up? B) We spread the excavated soil evenly on a field with dimensions of 70 m and 120 - Dimensions 15253
Our office has dimensions of 5 m by 4.5 m and a height of 2.5 m. How much will it cost to paint it if a liter of paint costs €3.50 (yield 10 m2/l) and the painter asks €1.20 for the job and 1m square painting? It will need to be painted twice. - Corresponding 6021
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m².
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