Volume - practice problems - page 9 of 125
Number of problems found: 2495
- Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters.
- Alice 2
Alice decided to plant geraniums in the spring. She bought one fifty-liter package of soil and also cuboid-shaped boxes with bottom dimensions of 1 m and 15 cm and a height of 17 cm. She wants to fill the boxes with soil only to a height of 2 cm from the
- Instantaneous water heater
Water flows into and out of an instantaneous water heater at the same time. If water only flows in, the empty water heater would be filled in 18 minutes. If water only flows out, the full water heater would be emptied in 20 minutes. How many hours will it
- Elementary Art School
The music and art department in the elementary art school is attended by 86 students. The music department is attended by 45 students, the art department is attended by 53 students. Several students attend both departments. How many students attend the mu
- Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are for joints and waste.
- A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
- Fuel and oil ratio 2T
Add 4 liters of gasoline with oil in a ratio of 33:1. How much oil is needed?
- Two cuboids
The cuboid has dimensions of 2m 3m 4m We increase the length of all edges by 50 cm. 1. Calculate in % how much the surface area of the cuboid increases compared to the surface area of the original cuboid - round the result to whole percent 2. Calculat
- Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm cubic. Calculate how many cubes with a volume of 1 cm cubic can this cuboid be cut into without a remainder.
- Ratio 52
The ratio of the surface area of a cube to its volume is 2:1.Calculate: a) the length of the edge of the cube in cm b) the volume of the cube in cm³ c) the volume of the cube in cm2
- Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up?
- Tank - fuel prices
I have a car with a 50l tank. My task is to find out the price of a full tank of fuel by weighted average at the end of the year. In December, 30l of fuel was filled - 37.50 CZK, and in November 40l - 38.40 CZK. What is the price per 1 liter and the value
- From tank 2
First 1/3 was drained from the water tank, then 1/4. There were 20 liters of water left in the tank. How many liters of water were in the tank at the beginning?
- Tank 28
The tank fills in 120 hours. When irrigated, it empties in 10 days. At what time will it fill with simultaneous irrigation?
- Two cubes 3
Two cubes modeled from plasticine have single-digit integer edge lengths with a difference of 1 cm. Can one large cube with an integer edge length be modeled from the same amount of plasticine?
- Laboratory
In the laboratory, twelve liters of 80% prepared 40% alcohol were diluted to a final 70% alcohol. A five-liter barrel of 40% alcohol was available. How much will remain in the barrel of 40% alcohol?
- Strawberry - mililiters
The volume of a strawberry cocktail is 1250 ml. How many liters is it and convert it to fractions?
- Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter
- Detergent - dilution
The detergent is diluted in a ratio of 1:200. How much detergent do we need if we use 5 liters of water?
- Liquid - pouring
We need to pour liquid from two cube-shaped containers into one container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the cube of the common container?
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