Practice problems of the volume - page 25 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: 2351
- Bathtub
There were 6 gallons of water in Mia's bathtub. Then, 0.1 gallons drained out. How much water is left in the bathtub? - A beauty
A beauty supply company has 53 liters of 5% hydrogen peroxide solution on hand. The company also has a nearly limitless amount of a solution that contains 35% hydrogen peroxide. How many liters of the 35% hydrogen peroxide solution should the company add - Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Original 63974
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube.
- Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit? - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - Percentage 63864
Through the first pipe, 90 hl of water flows into the tank per hour, and 2.7 l of water per second through the second pipe. Calculate by what percentage more or less water flows per unit time into the tank through the second pipe than through the first pi - Calculate 63764
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface. - Bennett
Bennett has 2L of apple juice. Each glass holds 3/5 L. How many glasses can he fill?
- David 2
David poured orange juice into 7 cups. He poured 1/4 liter of orange juice into each cup. How many liters of orange juice did David pour altogether? - Calculating 63344
Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decima - Hectoliters 63294
The lemonade is filled into 1/3 liter bottles. How many bottles must be used to fill two hectoliters of lemonade? - Volume 63234
The cube with a volume of 216 l has an edge with the following: - Hundredfold 63144
The length of the radius of the rotating cylinder base is 5 m. You calculate the radius of an equally high cylinder, the volume of which is a hundredfold.
- 10-liter 63104
The yard is square with a side of 20 meters. It rained 2 mm of water. How many 10-liter mopers would replace this rain? - A baker 2
A baker mixed 12 teaspoons of yeast and 114 teaspoons of salt to make one dough. How much yeast and salt are needed to make three doughs? - Fuel tank 2
A motorist puts 3/4 of a fuel tank in his car every week. The tank holds 60 liters when full. How many liters of fuel does he use per week? - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - 13 gallons
Thirteen gallons of water are used to fill three fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?
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