Solid geometry, stereometry - page 15 of 123

Number of problems found: 2441

Pot water half
The pot has a diameter of 24 cm and a height of 5 dm. How many liters of water are in the pot if it is half full?
Water level
In the pool, which is 15 m long, 6 m wide, and 2 m deep, the water level is 20 cm below the edge. How many hectoliters of water are in the pool?
Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm?
Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m³)
Sphere aquarium volume
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim.
Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
Foundations dimensions
The house has foundations of 12x8 m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm?
Small density cube
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.
Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank?
Aquarium water level
How high is the water level in the aquarium, which has the dimensions of a base of 80 cm and 45 cm, if there are 72 liters of water in it?
Glass pendant weight
Calculate the weight of the pendant - a regular four-side prism made of glass. The density of the glass is 2.5 g / cm³, the edge of the base is 2 cm, and the height of the pendant is 5.5 cm.
Vax candles
How much dm³ of wax do we need to produce 15 cube-shaped candles with 8 cm, 8 cm, and 1 dm dimensions?
Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³.
In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium.
Liquid - pouring
We need to pour the liquid from two cube-shaped containers into a single container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the combined cubic container?
A rectangular 7
A rectangular water tank has a square base of 90 cm on its side. If it is 300 cm high, how much water can it hold?
Aquarium - water
The aquarium is 5 dm long and 4 dm wide and contains 60 liters of water. A) calculate the height of the aquarium if the water reaches 5 cm below the edge B) calculate the total volume of the aquarium
Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round the result to the nearest tenth.
Box metal
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid?
Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g

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