Practice problems of the volume - page 19 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: 2353
- Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore he needs to make the height of the Tetrapak. - Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Calculate 71374
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Calculate 71364
Calculate the surface of a block whose two sides measure 12.8 cm, 162 mm and have a volume of 3,214.08 cm3
- Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank? - Submerged 71144
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C - A rectangular 7
A rectangular water tank has a square base of 90 cm on its side. If it is 300 cm high, how much water can it hold? - 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?
- Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - How much 4
How much juice is needed to fill a glass that is 9 m deep and 5 m wide, and 12 m long? - Deviation 70434
Frustum has the base radii of the figures r1 and r2: r1> r2, r2 = s, and if the side deviation from the base plane is 60°. Express the surface and volume of the cone frustum using its side s.
- Solutions 70424
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Capacity 70404
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - Dimensions 70354
The volume of the cylinder is 5l, and the height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Hemisphere 70054
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm.
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Tip: Our volume units converter will help you convert volume units. See also more information on Wikipedia.