Volume - math word problems - page 39 of 128
Number of problems found: 2549
- Edges of the cuboid
Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; height is 5.8 dm, and the block can hold 81.2 liters of fluid. - The surface
The surface of the cylinder is 1570 cm²; its height is 15 cm. Find the volume and radius of the base. - Above water surface
If we remove the stone from the water, we apply a force of 120 N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³. - What power
What power should a radiator have in a room measuring 5 × 4 metres with a height of 3 metres? Hint: Use 35 watts per m³ for rooms requiring 22 °C, or about 40 watts per m³ for bathrooms requiring 24 °C. This is a rule of thumb for estimating heating requi - Air thermics
In a cylinder with volume V0 is enclosed air. The temperature of the air is T and the pressure is p0. While maintaining a constant temperature, first the air is compressed by a piston to one sixth of its volume. Then, after very rapid opening and closing - Pool water capacity
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool? - Kenneth
Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He used 1/4 of that amount to paint the bathroom and the rest to paint the kitchen. Thus, Kenneth used 5 gallons of paint to paint the kitchen. - There
There is 5 l of water with a temperature of 20 °C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30 °C. What was the temperature of the hot water? - Dana and sandbox
Dana helped her dad build a sandbox for her younger sister. The sandbox is a rectangular prism 4 1/2 feet long and 4 feet wide. Dana filled it with sand to a depth of 1/2 foot using bags of sand, each containing 1/2 cubic foot. How many bags did she need - Feed to hay
How many tons of water do we have to dehydrate from 8 tons of feed if the original moisture is 54 percent to get hay with a moisture content of 15 percent? Round to two decimal places. - Cathy
Cathy has 5 cups of peanuts to share with her family. If each family member gets 1/2 cup of peanuts, how many family members can have some? - Washing powder dosage
40 g of washing powder is needed for 10 l of water. When washing in hard water, the dosage should be increased by one-third. How many grams of detergent is required per 10 liters of hard water? - Fruit punch
Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among nine glasses. How much fruit punch did Kelly pour into each - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - Safe wall percentage
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe? - Water cylinder Zuzana poured 785 ml of water into a measuring cylinder with a base radius of 5 cm. The water in the cylinder reached a height of 2 cm from the upper edge. How tall is the cylinder? (π = 3.14)
- White and blue - Anna Anna used 8.1 pints of white and blue paint to paint her bedroom walls. Four-fifths of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use? Express your answer in fraction and decimal form. Solve on paper.
- An experiment
The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each uses a container with a different bot - Calculate v,V
A) Calculate the speed from the path calculation formula. B) From the formula for calculating the volume of the cone, express the radius r. - Cuboid height volume A cube has an edge of 30 cm. The cuboid has dimensions of the lower base, 45 cm, and 10 cm. What is the height of a cuboid if it has the same volume as a cube?
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