Volume + length - practice problems - page 22 of 23
Number of problems found: 451
- Car range
Calculate the maximum range of cars, if you can spend 10 euros, the diesel price is 1.55 Eur/l, and car consumption is 3 l/100 km. - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 28 cm. The edge length of the base of the prism and height is 3:5. - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - Building
Lenka has 22 cubes for constructing a building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build a building with these cubes?
- Road embankment
Road embankment has a cross-section shape of an isosceles trapezoid with bases 5 m and 7 m and 2 m long leg. How many cubic meters of soil is in embankment length of 1474 meters? - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Pool
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Pe - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place.
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge?
- Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Shots
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Rainfall
Annual rainfall in our country is an average of 797 mm. How many m³ of water rains on average per hectare? - Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
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