The volume of prism problems - page 10 of 21
Number of problems found: 408
- The excavation
The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Millimeters 19473
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily? - Dimensions 18833
The 4-sided prism has a volume of 648 cubic cm. The trapezoid, its base, has the dimensions a-10cm, c-8cm, h-6cm. Calculate the height of the prism - Measuring 16553
The tank is shaped like a block measuring 80 cm, 30 cm, and 20 cm. The oil level is 6 cm below the edge. Find the amount of oil in the tank in liters. - Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.
- Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg? - Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water. - Dimensions 15133
The aquarium has the dimensions a = 250 cm, b = 50 cm, and c = 60 cm. Water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium? - Pool
How many hectoliters of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Uboid volume
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² - Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³?
- A flower pot
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A) Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B) Calculate the weight of the flowerpot if the concre - Block-shaped 13521
A block-shaped aquarium with dimensions of 82 cm, 30 cm, at 7.6 cm is filled with 70% water. How many liters of water is in it? What height does the water reach? From what% of the sidewall area is wetting? - Swimming pool The swimming pool is shaped like a block and has dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool?
- Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm. - Five-liter 11431
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep?
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