Practice problems of the volume - page 14 of 118
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: 2354
- Cube-shaped 80720
Pavel has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium? - Average 80654
On average, 100 liters of milk make 16 liters of cream, and 100 liters of cream make 20 liters of butter. How many liters of milk do we need for 100 liters of butter? - Strawberries 80646
Mom and grandma went shopping at the market. Mom bought 2 kg of strawberries and 3 liters of blueberries and paid 250 CZK. Grandma bought 1 kg more strawberries and 0.5 l fewer blueberries than mom and paid 45 CZK more than her. How much did 1 kg of straw - Alternating circuit
In an alternating circuit, the total voltage V is given by V=V1 +V2 If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2.
- Cube-shaped 80585
Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have? How many boxes of the given dimensions can fit in it? - The cost 9
The cost of 8 1/4 L petrol is $33. What is the cost of one liter? - Seven-liter 80518
Happy Mom needs to measure exactly 6 liters of water. It only has a five-liter and a seven-liter container. How can a mother measure exactly 6 liters of water by gradually pouring? He doesn't care about other containers. - Six-fifteenths 80487
Hermione Granger prepares an anti-boredom potion. She read in the recipe that the brew volume is two-ninths of liquid toad poison, six-fifteenths of mandrake nectar, and the rest is 34 milliliters of water. How many milliliters of Potion will Hermione mak - Kilograms 80481
What is the weight of a sheet of glass 75 cm x 120 cm and 2 mm thick if one cubic meter of glass weighs 2500 kilograms?
- Cylinder-shaped 80454
The paint is sold in a cylinder-shaped can with a height of 24.5 cm and a diameter of 15 cm. A full can weighs 5.5 kg. How much does 1 liter of paint weigh? - Decrease 80441
By what percent does a cube's volume decrease if its edge length is reduced by a quarter? - Contains 80440
Cow's milk contains an average of 3.6% fat. How many liters of milk are needed to make 250g of butter? Butter contains 82% fat. - Water meter
The readings on a water meter in April and May were 417.8 m³ and 430.4 m³. If there is a basic charge of P23 and the cost per cubic meter is P20, how much is the billing for water consumption? * a. P252 b. P254 c. P272 d. P275 - 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?
- Ice cream
Two and a half liters of ice cream are divided (unequally) into two parts that are in the ratio of 1:7. How much is each part? - Mrs Olive
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade .how many quarts of lemonade did she make? - A small 2
A small bottle contains 1 9/12 L of fluid. A big bottle contains 2 7/15 L of fluid. What is the capacity of both bottles? - Ron has
Ron has 4 2/3 liters of oil. He kept 1 1/4 liters and divided the rest into parts of 3/4 liter each. How many parts did he make? - Minutes 80094
Five hundred liters of water will flow into the pool in 5 minutes, and 120 liters of water will flow out of it in 12 minutes. How many liters of water will be added in 1 hour?
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