Prism practice problems - page 22 of 28
Number of problems found: 550
- Glass aquarium
How many m² of glass are needed to produce an aquarium with a bottom dimension of 70 cm x 40 cm and a height of 50 cm?
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
- Aquarium 28461
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm?
- Dimensions 6996
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted?
- Calculate 6244
Calculate how many dm² of sheet metal it takes to produce a box without a lid measuring 2.1dm, 3.5dm, and 0.5dm in height.
- Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume.
- Concrete block
Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters.
- Calculate 2674
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm
- Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large?
- Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume.
- Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm.
- Hectoliters 7665
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3?
- Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas.
- Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and the outer circumference is 40.7 m.
- Calculate the pool
Calculate how many square meters are needed to line the pool 6 meters long, 4 meters wide, and 1.5 meters deep. Add 10% to waste.
- The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank?
- Tetrapack
How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter?
- Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism.
- The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height?
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