Solid geometry, stereometry - page 53 of 121
Number of problems found: 2404
- 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. 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.
- Prism  Find a prism's volume and surface area with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m. Find a prism's volume and surface area with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m.
- Water  The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Cube-shaped  68794   How much fabric will be needed to cover 12 cube-shaped seats with a 40cm edge? How much fabric will be needed to cover 12 cube-shaped seats with a 40cm edge?
- Quadrilateral  44561   The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid. The regular quadrilateral pyramid has a volume of 212 m³ and a base edge a = 7.2 m. Calculate the surface area and height of the pyramid.
- Calculate  32001   Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm². 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? 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. 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. 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. 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? 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?
- 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. 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? 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. 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. 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? 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? 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. 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. 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? How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water?
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