Practice problems of the volume - page 16 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
- Fabric 78284
How many m³ of fabric do we need to buy to make 20 cubes with an edge of 4.5 dm? - Decimetres 72974
What is the diameter of a 1m³ sphere? Write in decimetres - Calculate 66974
Calculate the density of the wood from which the statuette is made. Its volume is 32000 cm3, and it weighs 20800 g. - Dimensions: 65144
Calculate the volume of the block in dm³ S dimensions: a = 22cm b = 80dm c = 0.63m - Calculate 64734
We cut a sphere with a diameter of 10 dm into two equal parts. Calculate the area of the cut. - 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. - Dimension 62514
The cabinet has a volume of 5.4 m3, a height of 2 m, and a width of 1.5 m. What is the third dimension of the cabinet? - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Calculate 47773
Calculate the volume of a cube whose surface is 15,000 cm². Express the result in liters. - Hectoliters 45331
How many hectoliters of water can fit in a pool with bottom dimensions of 10 m and 20 m and a depth of 4 m? - Surface 40621
The surface of the sphere is 535 m². What is its volume? - Ball-shaped 32173
The inner diameter of the ball-shaped reservoir is d = 12 m. Can it hold 900 m³ of water? - Ice floe
What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m³. - Needed 27961
Can, height 9cm, r = 8cm. How much sheet is needed to make it? - Spherical 27051
How much fabric is needed to sew a spherical hot air balloon with a diameter of 15 m? How much air is needed to inflate the balloon? - Increase 26531
How many times does the density of a steel pipe increase if we triple its length? - Calculate 24201
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm. - Cylinder 17971
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface? - Circumference 16933
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond. - Excavation 7913
The excavator dug an excavation measuring 10mx20m and 30 cm deep. How many tons of stone does it need to load it?
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