Practice problems of the volume - page 17 of 117
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2323
- Watering 7078
A full watering can weigh 27kg. When half full, it weighs 15 kg. How much can an empty watering weigh? - Length 6326
The cube has an area of 5400 cm². What are the length of its edge and the volume of the cube? - Prism 4679
How many 2 cm prism cubes do we need to make a 6 cm cube out of them? - Surface 4588
What is the volume of a sphere with a surface area of 113.04 square meters? - Cylinder-shaped 3455
82 hl of water/hour flows into the empty cylinder-shaped pool with a diameter of 5 m. To what height will the pool be filled if water flows for 4 hours? - Volume 3261
The volume of the square is 56l. The length is 10 dm, and the width is 2 dm. What is its height? - Measuring 3079
How many cubes with a 2cm edge will fit in a block measuring 8cm, 10cm, and 12cm? - Kilometers 3029
The car consumed m liters of gasoline per s of kilometers. How many liters of gasoline does it consume per 100 km? - Cylindrical 2945
The cylindrical plastic container has a bottom diameter of 2 dm. How tall must the container be to hold 5 liters of water? - Maria 6
Maria drank 3 liters of water last week. Her friend drank twice as much water as Maria. How many milliliters of water did they both drink? - Jason 3
Jason bought 3 liters of cola. He drank 3/5 liters of it and gave 2/7 liters to his brother. How much cola did Jason have left? - In making
To make a palming, you must mix 2 1/2 pitchers of pineapple juice and 4 3/4 pitchers of water. How much is the mixture? - Muffins 2
Shayla is baking muffins that require 1/2 cup of vegetable oil. She only has 1/3 cup left. How much more does she need? - Pineapple juice
The caterer prepared 25 1/4 liters of pineapple juice, 15 3/5 liters of soursop juice, and 10 7/10 liters of orange juice. How many liters of juice were prepared in all? - Mother 12
Mother has 2 liters (liter=L) of milk. She used 1/8 L for making leche flan and 1/8 L for baking a cake. How much milk did she use? How much milk is left? - Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter. - Cubic units
A rectangular prism with a volume of 10 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism? - Juice division
534 liters of juice were in a container. If every person gets 14 liters, how many people will get juice from the container? - At Lina’s
At Lina's restaurant, one serving of chili is 1 ½ cups. The chef makes 48 cups of chili each night. How many servings of chili are in 48 cups? - Mango juice
In the making of mango juice, you need to mix 2 1/3 pitchers of mango juice and 5 1/2 pitchers of water. How much is the mixture?
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