Practice problems of the volume - page 18 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
- A burger
The water starts with 41 1/4 cups of water. How much water is left after ten 3 5/8 Scoops of water are removed? - Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function - Cubic inches to cups
5-3/8" x 4" x 2-5/8" container. How many equal cups? - Hard cone problem
The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Mixing 5
Carlos mixed 4/15 of chocolate syrup with 1/2 of milk. Determine the reasonable estimate of the total amount of liquid - Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the depth of the tank. Calculate its depth. - A bucket
A bucket has 4 liters of water when it is 2/5 full. How much can it hold? - Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm - Barrel
The barrel of wine is filled by 9/14. What part of the barrel will remain filled when 1/4 of the wine we pour from the barrel? - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Bucket
How many 5-liter buckets do you have to pour into a 0.2 m³ container to make it full? - Aquarium
Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm? - Area to volume
If the surface area of a cube is 486, find its volume. - Cube surface and volume
Find the surface of the cube with a volume of 27 dm³. - Soup from canteen
For how many people is 90 liters of soup enough if we assume 3/8 liters of soup per person in the canteen? - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - Cube walls
Find the cube's volume and surface area if the area of one of its walls is 40 cm². - The volume
The volume of a solid cylinder is 260 cm³. The cylinder is melted down into a cuboid whose base is a square of 5cm. Calculate the height of the cuboid and the surface area of the cuboid.
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