Prism practice problems - page 24 of 29
Number of problems found: 564
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Block volume
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 - Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters? - Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted? - Isosceles weight
A designer weight is made from a glass cube by cutting off a triangular prism with an isosceles right-triangle base, where the legs of the triangle are each half the length of the cube's edge. What percentage of the cube is removed when making the weight? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Remote control wood
Calculate how many dm² of wood the craftsman needs to make a block-shaped wooden remote control stand with dimensions of 3.2 dm, 2.4 dm, and a height of 0.6 dm. - Prism height calculation
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height? - The wall
The wall in the bathroom has dimensions of 2.8 m and 2.6 m. Suppose we would like to cover this wall to a height of 1.6 m. How many square meters of tiles do we need to buy? - 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. - Rainfall
How many liters of water fell in a 32 m long and 8 m wide garden if 8 mm of rain fell? - Hexagonal prism volume
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3 cm and 4 cm. The - Chimney metal
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m? - Square base - prism
The right prism has a square base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5 cm. Calculate its volume. - Rainfall
On Thursday, 1 cm of rainfall fell. How many liters of water fell into a rectangular garden with 22 m x 35 m dimensions? - Concrete ring
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass. - Four-sided prism
Find the surface area and volume of a four-sided prism high 10 cm if its base is a rectangle measuring 6 cm and 1.4 dm. - Block wall diagonal
A block with dimensions a = 15 cm b = 5 cm and a block height c = 8 cm. Calculate the length of the wall diagonal in the base. - Water height calculation
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm.
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