Geometry - math word problems - page 41 of 163

Number of problems found: 3251

Diesel tank level
The diesel tank is shaped like a block measuring 4.5 m x 3.2 m. If it contained 216 hl of diesel, what was its level?
Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence.
Shell area cy
The cylinder's shell area is 300 cm square, and its height is 12 cm. Calculate its volume.
Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?
Barrel with water
The water barrel weighs 52 kg. When we pour a quarter of the water, the barrel’s weight is reduced to 40 kg. Determine the weight of the empty barrel.
Wetted Bottle Area
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
Water tank calculation
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain?
Pool water calculation
How much water is in a cylinder-shaped pool with a radius of 2m, which is 1.5 m deep if it is filled 10 cm below the edge rounded to one decimal place
Roller dice weight
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice?
Segment ratio reduction
I will reduce a segment of length 16 cm in the ratio 7:8, what will its length be in cm?
Segment ratio reduction
If I reduce a segment of length 72 cm in a ratio of 5:8, how many cm will it be?
Hemispherical dome
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m?
Cube surface
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have?
Seat fabric calculation
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters)
Tank water remaining
They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimension
Vase height volume
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm², calculate its height.
Cuboid height volume
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube?
Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
Container with water
The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the company will fill the container to three-quarters of its height. What is the volume of the whole container?

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