Solid geometry, stereometry - page 54 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
- Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell? - Tank and water
We poured a cylindrical tank with 3.5 liters of water. If the tank base diameter is 3 dm, how height is the water level? - Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 28 cm. The edge length of the base of the prism and height is 3:5.
- Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Square-shaped 81520
How many m² of mesh is used for fencing a square-shaped cage without a base with dimensions of 25m, 18m, 2.5m - Triangular 6345
Calculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = Va = 4m, and c = 5m. The height of the prism is v = 5.5 m. - Dimensions 3950
Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well. - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
- Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Cuboidal room
The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room - Surface area
Calculate the surface area of a four-sides 2-m high prism whose base is a rectangle with sides of 17 cm and 1.3 dm - Rainfall
On Thursday, fell 1 cm of rainfall. How many liters of water fell into a rectangular garden with dimensions of 22 m x 35 m?
- Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Hexa prism
Determine the volume of the hex prism with an edge base of 4 cm. The body height is 28 cm. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - Sails
We know heights 220, 165, and 132 of sail. It has a triangular shape. What is the surface of the sail?
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