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: 2283
- Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic meters of gasoline? - 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 - 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?
- 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.
- 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 - Calculate 19673
The surface of the sphere is 1256 cm². Calculate the radius of the sphere. - 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.
- 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. - A box 4
A box open at the top has a rectangular base of 200mmx300mm and an altitude of 150mm. If the base and the sides are 10mm thick, find the total surface area of the box. - Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12cm and 1.6dm, the hypotenuse measures 200mm. The box is 34cm high. We pay 0,13 € per square meter of paper. - Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity?
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