Volume Conversion Word Problems - page 27 of 47

Number of problems found: 923

Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm?
Ice Cream Cones Volume
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer.
Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top?
Blood Pumped by Heart
At 23:45, the pump pumps 435.4 liters of blood. How many liters of blood does he pump per day? How many liters of blood does he pump in a week?
A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a
Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies.
Spruce wood
Calculate the weight of an edge made of spruce wood 6 m long when the cross-section of the edge is 146 cm square and if the density of the wood is 0.55 grams/cm cubic.
The pot
The pot is a cylinder with a volume of V = 7 l and an inner diameter of d = 20 cm. Find its depth.
Pool capacity
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?
The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
Family 5
The Plavecký family built a pool which is 120 cm deep. a/The bottom of the pool has a thickness of 10 cm, the side walls 20 cm. The pool has the shape of a cuboid with a base of 3 m x 5 m. How many cubic metres did they use for its construction? b/Their s
Filling Cylindrical Pool
The outdoor pool has a cylindrical shape with an inner diameter of 3.6 m and a depth of 1.2 m. a) how long will it take to fill if 2 liters of water flow per second? b) how many crowns will it cost to fill the pool? (find out the price of 1 m³ of water. )
Cylindrical Container Volume
The cylindrical container should have a volume of 1 liter and a height of 15 cm. What will be its average height?
Water Height Cylinder Diameter
How high will 1 liter of water in a cylindrical vessel with a bottom diameter of 8 cm reach?
Juice Container Diameter Volume
What diameter will a 20 cm high cardboard juice container have to fit half a liter?
Excavator Stone Weight
The excavator dug an excavation measuring 10mx20m and 30 cm deep. How many tons of stone does it need to load it?
Ice layer
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m?
Cylinder pot
The cylinder-shaped pot has a bottom diameter of 28 cm and a height of 36 cm and is two-thirds full of tea. Will this tea be enough for 50 children if we serve it in full 3 dl glasses?
Cylinder Paint Weight Area
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
Diluting Alcohol Solution
I have 35% alcohol and want to make 1 liter of 1% solution. How much ml of alcohol should I put on the bottom of a one-liter container and pour water over it?

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