Practice problems of the volume - page 5 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
- Volume of cone
Find the volume of a right circular cone-shaped building with a height of 9 m and a radius base of 7 m. - Two cuboids
Find the volume of the cuboidal box with one edge: a) 1.4m and b) 2.1 dm. - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side. - Aquarium
The aquarium is a cube with an edge of 45 cm. How much water can fit in there? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Beer
Which beer is better to drink: small beer (0.3 L) for 0.67 € or large (0.5 L) for 1.81 €? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Truncated cone
Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm, and height v = 8 cm. - Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of cone and cube. Please write the ratio as a decimal number and as a percentage. - Increase 25941
How many times does the volume of a cube increase if we enlarge its edge three times? - Calculate 24941
Calculate the surface and volume of a cylinder with a base radius of 5 cm and a height of 8 cm. - Calculate 24011
There is a cylinder with a base radius of 3 cm and a height of 12 cm. Calculate a) cylinder surface b) cylinder volume - Calculate 18393
Calculate the cube's volume if its edge length is 5 cm. - Density 8238
What is the weight of salt with a volume of 25 dm³? The salt density is 2.16 g / cm³. - Pyramid 7903
How does the volume of a pyramid change if we triple its height? - Increases 6105
How many times does the volume of a cube increase if its surface increases four times? - Cesar
Cesar increased the amount of water he drinks each day from 64 ounces to 72 ounces. By what percentage did Cesar increase the amount of water he drinks each day? - Martin 9
Martin poured 5 liters of lemon tea equally in 2 bottles. How much lemon tea was there in each bottle? - An oil 2
An oil tin contains 3 3/4 liters of oil which 2 1/2 liters of oil is used. How much oil is left over?
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