Practice problems of the volume - page 28 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: 2352
- 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? - Container 59083
In the garden, there was 121l of water in a large container. How many buckets of 9 l will we fill? - Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³. - Lemonade
During a contest, Karlo drank 1 3/4 liters of lemonade, and Ralph drank 1 ½ liter. Who drank more lemonade, and by how much? - Solve 7
Solve the Decimal Division Application. Round to the nearest tenth if needed. There are approximately 0.26 gallons in 1 liter. Determine how many liters are in 2,600 gallons. - 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? - The Hobson
The Hobson family is on a road trip, and their gas tank is 1/10 full. If they can drive 40 more miles, what fraction of the tank does each mile consume?
- A box 3
A box delivery truck consumes 12 gallons of gasoline in three days of 2 4/5 gallons of gas or consumes on the first day and three and 710 gallons consumed on the second day. How much is consumed on the third day? - Full tank
Jakub pumps a full tank into his motorcycle and leaves. On the way to the city, it consumes 11/16 tanks and back 3/5 of the rest. What percentage of the fuel will remain in the tank? - Math:
Math: solve each problem. 1. for the school's intramurals, a group of students prepared 23 1/2 liters of lemonade to sell. They had 3 5/8 liters left over. How many liters of lemonade were sold? 2. My mother bought 3 3/4 kg of beef, 23/5 kg of pork, and 5 - Chiesey
Cheesy drank ¾ of a 320ml bottle of water. Colley drank ⅔ as much water as Cheesy did. How many ml of water did Colley drink? - Cube-shaped 57101
The cube-shaped box with a length of 20 dm is filled with sand. If 1 m³ of sand weighs 1.5 t, what is the weight of sand?
- 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? - Gasoline fuel 2
Mike's budget for his gasoline fuel is 2000.00 a month, and he saved the rest. At the end of the month, he checked his gasoline slips and found he had used the following amounts of gasoline 9.71 liters,10.23 liters,17.8 liters,6.31 liters, and 8.47 liters - Height of the prism
The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism. - Gas price
If a cm³ of gas costs rm 1.50, how many cents would a liter of gas cost? 1 rm = 1 Malaysian Ringgit = 100 Malaysian Ringgit cents = equals 0.21 Euro in 2021/Q3 - Oil crisis
A car runs 16 km using 1 liter of petrol. How much distance will it cover using 2 3/4 liters of petrol?
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