Practice problems of the volume - page 6 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 small 2
A small bottle contains 1 9/12 L of fluid. A big bottle contains 2 7/15 L of fluid. What is the capacity of both bottles? - A rectangular 8
A rectangular prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume in cubic meters? - 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? - 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 prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Volume and surface area
Find the volume and surface of a wooden block with dimensions: a = 8 cm, b = 10 cm, c = 16 cm. - Liquid
How much liquid does the rotary cylinder tank hold with a base diameter of 1.2m and height of 1.5m? - The cylinder 2
Find the volume and the lateral area of a cylinder with a height of 12 inches and a base radius of 4 inches. - The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube. - Clay
How many cubic centimeters of clay is in a pit of dimensions 4 m x 3 m x 3 m? - Ice floe
What is the volume of an ice floe weighing 326 kg? - Cuboid - simple
Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm, and c = 6 cm. - Cube 3
How many times will increase the volume of a cube if we double the length of its edge? - The star
Find the area of the shaded part of the square with a side of 22 cm. - Cube corners
Peter cut the wooden cube with edge 64 cm in 3 corners of the cube with edge 4 cm. How many cubes of edge 4 cm can Peter even be cut? - Shots
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers. - Calculate 81990
Calculate the edge of a cube with a volume of 150 cubic cm. - Calculating 48151
A) Calculate the speed from the path calculation formula. B) From the formula for calculating the volume of the cone, express the radius r.
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