Solid geometry, stereometry - page 87 of 123
Number of problems found: 2441
- Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Block volume calculation
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm. - Quadrilateral pyramid
The regular quadrilateral pyramid has a base perimeter of 44 cm and a body height of 3.2 cm. Calculate its volume and surface. - Pool Water Height Volume
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters. - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal? - Cylinder diameter height
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm². Report the results to the nearest millimeter. - Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Pyramid edge calculation
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5 cm. Calculate the size of the side edge and the base edge of the pyramid. - Direct indirect proportion
Decide if the variables are in a relation of direct or indirect proportionality. 1st variable 2nd variable does not change: a) number of bottles of syrup amount paid for them price per 1 bottle b) length of the side of a rhombus length of the correspondin - 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. - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm? - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Pyramid edge calculation
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length? - Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume. - Pyramid volume
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm? - The rotation cone The rotation cone with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume.
- Paper box volume
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
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