Practice problems of the volume - page 94 of 118
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: 2353
- Calculate 3993
The median of the trapezoid p is 18.6 cm, and the base a = 29.8 cm. Calculate the size of the second base c. - Preparation 3992
4 per mille of active ingredient is needed per 6 liters of water to prepare sprays. How many milliliters of active substance do we add to the sprays? - Dimensions 3985
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How much is hl of water in it? How many m² of the tank is soaked with water? - Substance 3984
There are 5 ml of active substance in a 600 ml spray. How much is it per mille?
- Density 3961
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Volume 3960
The volume of the block is 1000 cubic meters. Food b = 8m, food c = 12.5m. How long is the party and? - Dimensions 3950
Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well. - Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters. - Dimensions 3929
An aquarium has 64 * 50 * 45cm dimensions and is filled 5cm below the edge. How many liters of water are in an aquarium? How many square meters are needed to produce an aquarium?
- Fluid
We have vessels containing 7 liters, 5 liters, and 2 liters. The largest container is filled with fluid, the others empty. Can you only get 5 liters and two 1 liter of fluid by pouring? How much pouring is needed? - Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%? - Millimeters 3903
The surface area of one cube wall is 2500 square millimeters. Determine the cube's surface, the length of its edge, and its volume. - Cube 5
The surface area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface, and volume. - Students 3890
Three students drink 2 liters of milk a week. How many liters of milk do nine students drink in two weeks?
- Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Volume and area
What is a cube's volume with an area of 361 cm²? - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams.
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