Solid geometry, stereometry - page 87 of 123
Number of problems found: 2442
- 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? - Block diagonal
Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters. - 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. - Quadrilateral pyramid
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid. - 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? - Wall height
Calculate the surface and volume of a regular quadrilateral pyramid if side a = 6 cm and wall height v = 0.8 dm. - 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 - 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? - 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. - 3S pyramid
A vertical regular 3-sided pyramid is given. The side of the base a = 5 cm, and the height is 8 cm. Calculate the volume and area. - Block volume calculation
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume - 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. - Balloon material calculation
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - 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.
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