Practice problems of the volume - page 9 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
- Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Relationship 4417
Calculate the volume of the cylinder if the radius of the base is 3 cm, and the relationship between the radius of the base and the height of the cylinder is v = 3r - Percentage 3501
We first poured 0.25 water from the full container, then 0.2 of the remaining water. What percentage of the container remained full? - Block-shaped 3059
Calculate the volume of a block-shaped water tank with dimensions of 6.5 m, 4.8 m, 2.8 m - Calculate 3052
Calculate the volume and area of the cube with the length of the edge a) 5m b) 32 mm c) 4.5 dm - Tim collected
Tim collected 1/2 of a bin of glass bottles to recycle. Dale collected 7 times as many bins as Tim. How many bins of bottles did Dale collect? - The cola
Leif, Leslie, Lorenzo, and Noah have 2 quarts of cola. They want to share it equally. How many quarts of cola will each of them get? - I have
I have 1/5 of an ounce of water left. I separate the water equally into two cups. How many ounces of water are in each cup? - Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm. - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Angie
Angie poured four cartons of milk, each with 2.4 liters, into a mixing bowl. How many liters of milk were there altogether? - Aquarium
How many liters of water can fit in an aquarium measuring 30, 15, and 20 cm? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Quadrilateral pyramid
Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6cm, b = 4cm, and height v = 11cm - Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm. - Tank of fuel
A 14.5-gallon tank of fuel is 3/4 full. How many more gallons will it take to fill up the tank? - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid. - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge has 4 centimeters, and the height of the sidewall is 12 centimeters. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
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