Volume - practice problems
Number of problems found: 2522
- Moving boxes
Karen is moving into a new house. She has a lot of books to pack in small moving boxes. The dimensions of one small moving box are: base 1 ft × 4 ft, side height 2 ft, and depth 3/4 ft. What is the volume of the small moving box? - Shipping problem
Paul works in the shipping department of a toy company. He sends toys in boxes, each in the shape of a rectangular prism with whole-number dimensions in inches. Paul needs a box with a total volume of 24 cubic inches. Find one possible combination of leng - Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - Spherical sector - parameters
Find the volume and surface area of a spherical sector whose base has a height of 8 cm, drawn on a sphere with a diameter of 36 cm. - A liter of a milk
One litre of milk costs Rs 42.50. What will be the cost of 2.5 litres? - A solid
A solid consists of a cone standing on a hemisphere, both with equal radii of 1 cm, and the height of the cone equals its radius. Find the volume of the solid. - Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture. - Milk everyday Nisha consumes 1,200 ml of milk every day. How many litres of milk will she consume in 5 weeks?
- The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume? - Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius. - The radius 4
The radius of a sphere is r = 9 cm. What is the volume of this sphere? Use π ≈ 3.14 and round your answer to the nearest hundredth. - Susan 5
Susan has a water tank in her back garden that can hold up to 750 L of water. At the start of a rainy day (at 0:00) there are 165 L in the tank, and after a heavy day's rain (at 24:00) there are 201 L in the tank. Assuming that the rain fell at a constant - Prism - base and height
Find the volume of a prism if the base area equals 20 in² and the height is 12 inches. - Dilution How many litres of water will have to be added to 1,125 litres of a 45% acid solution so that the resulting mixture contains more than 25% but less than 30% acid?
- Two cubes 2
Two cubes, each with a volume of 125 cm³, are joined end to end. Find the surface area of the resulting cuboid. - Drying fruit
Fresh fruit contains 68% water and dried fruit contains 20% water. How much dried fruit can be obtained from 100 kg of fresh fruit? - Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes. - The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its: a) volume, b) curved surface area. - A hemispherical
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain? - Petrol and kerosene
What will be the ratio of petrol and kerosene in the final solution formed by mixing petrol and kerosene that are present in three vessels in the ratio 4:1, 5:2, and 6:1, respectively?
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