Solid geometry, stereometry - page 53 of 121
Number of problems found: 2409
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Cube-shaped 68794
How much fabric will be needed to cover 12 cube-shaped seats with a 40cm edge? - Calculate 32001
Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm². - Diameter 27713
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued? - Calculate 18393
Calculate the cube's volume if its edge length is 5 cm. - Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - Cylinder-shaped 3455
82 hl of water/hour flows into the empty cylinder-shaped pool with a diameter of 5 m. To what height will the pool be filled if water flows for 4 hours? - Concrete pipe
The concrete pipe is cylindrical, with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its surface. - A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume. - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Water depth
If the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere, how many square meters of the inside of the pool wet the water? - Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Triangular RT prism
Calculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = ha = 4m, and c = 5m. The height of the prism is v = 5.5 m. - Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area. - Cube-shaped 77974
How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water? - Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface - Spherical 27051
How much fabric is needed to sew a spherical hot air balloon with a diameter of 15 m? How much air is needed to inflate the balloon?
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