Volume - math word problems - page 10 of 127
Number of problems found: 2522
- Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm³. Calculate how many cubes with a volume of 1 cm³ this cuboid can 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 edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm².
- Boxes of wafers
Wafers measuring 11¾ cm × 4⅖ cm × 1⅔ cm are packed in rectangular boxes measuring 23½ cm × 26⅖ cm × 6⅔ cm. What fraction of the volume of the box does one wafer occupy? - Tank - fuel prices
I have a car with a 50-litre tank. I want to calculate the weighted average price of a full tank of fuel at the end of the year. In December, 30 litres were filled at 37.50 CZK per litre, and in November, 40 litres at 38.40 CZK per litre. What is the weig - From tank 2
First, 1/3 was drained from a water tank, then 1/4 of the remainder was drained. There were 20 litres of water left in the tank. How many litres were in the tank at the beginning? - Tank 28
A tank fills in 120 hours. When drained for irrigation, it empties in 10 days. How long will it take to fill if filling and draining occur simultaneously? - Two cubes 3 Two cubes made of plasticine have single-digit integer edge lengths differing by 1 cm. Can a single larger cube with an integer edge length be made from the same total amount of plasticine?
- Laboratory
In a laboratory, twelve litres of 80% alcohol were to be diluted to produce 40% alcohol, and then further combined to make a final 70% alcohol solution. A five-litre barrel of 40% alcohol was available. How much of the 40% alcohol will remain in the barre - Strawberry - mililiters
The volume of a strawberry smoothie is 1,250 ml. Convert this to litres and express it as a fraction. - Equilateral cone
A cup has the shape of a right circular cone whose slant height equals the diameter of its base (i.e. the axial cross-section is an equilateral triangle). It is supposed to hold 0.2 litres of liquid when filled to 1 cm below the rim. Calculate its diamete - Detergent - dilution
A detergent is diluted in a ratio of 1:200. How much detergent is needed if 5 litres of water are used? - Liquid - pouring We need to pour the liquid from two cube-shaped containers into a single container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the combined cubic container?
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity? - Aluminum - density
The density of aluminium is 2,700 kg/m³. Calculate the mass of an aluminium cube with a volume of 80 cm³. - Sifted sand
At a construction site, sand used in mortar is sifted through a sieve. In the process, 1/6 of the coarse material does not pass through and is discarded. Determine how many cubic metres must be brought in to obtain two cubic metres of sifted sand. - Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box. - In production
In the production of sea buckthorn liqueur, 1.25 litres of sea buckthorn juice are mixed with 0.75 litres of spirit with 4% alcohol content. Calculate the percentage of alcohol in the sea buckthorn liqueur. Calculate the volume of pure alcohol in litres c - DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m × 20 cm × 20 cm, if its mass is 84 kg? - Truck bed
Calculate how many truckloads are needed to transport grain from the combine hopper. The hopper is a prism with a rhombus-shaped base with sides of 13 dm and a height of 2.8 m to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with
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