Volume - practice for 12 year olds - page 47 of 48
Number of problems found: 953
- Prism
The prism's base is a rhombus with a side 30 cm and a height 27 cm long. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Scale
The student drew the cylinder in scale 2:1. How many times is the volume of the cylinder smaller in reality? - Pool coating
How many tiles 25 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 30 m × 5 m if the pool can fit up to 271500 liters of water? - Air
The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person?
- The pot
The pot is in 1/3 filled with water. The bottom of the pot has an area of 329 cm². How many centimeters rise in water level in the pot after adding 1.2 liters of water? - Water tank
The water tank shape cuboid has a width of 2.3 m and length twice larger. How high will reach water if water flows into 19 liters of water per second during 52 minutes? - 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. - Tanks
The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl. How many barrels were used if the water level in the tank fell 5 cm? Wri - Lid
What is the weight of the concrete cover (lid) to round shape well with a diameter 1.8 m if the thickness of the cover is 11 cm? 1 m³ of concrete weighs 2190 kg.
- 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? - 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 - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - Sea water
Seawater contains about 5% salt. How many dm³ of distilled water must we pour into 39 dm³ of seawater to get water with 1.6% salt?
- Water
Mix 67 l of water with a temperature of 67 °C, 17 l warm of 32 °C, and 79 l water of 87 °C. What is the temperature of the mixed water immediately after mixing? - Cylinders
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume, and by how much? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - 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. - Peroxide
How much-distilled water (in liters) must pharmacists pour into 300 ml of 23.6% solution of hydrogen peroxide to get 2.7% solution to gargle?
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