Volume + fractions - practice problems
Number of problems found: 407
- Gas tank
Mason's car has a gas tank that holds 24 gallons of gas. The tank is precisely 1/4 full. How many gallons of gas are in Mason's car? - Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - A tank 3
A tank is 3/5 full of water. 50 liters more of water is required to fill the tank, how many liters of water can the tank hold? - Milk bottles
A container of milk was 4/5 full. When 12 bottles of milk were taken out and 8 bottles of milk poured into it, it was 3/4 full.How many bottles of milk can the container contain?
- A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank? - The petrol tank
Tinny's car's petrol tank was full. He drove around the city and used 1/4 of the petrol. What fraction of the petrol was left? - Full tank 2 Robert has a full tank of petrol. He drove to Manly and used 1/8 of a tank and then to Gosford using another 4/8 of a tank. What fraction of a tank of petrol has he used?
- The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum. - Petrol, fuel In a car meter shows that it has kept oil 1/5 of its fuel capacity. When 22 liters of petrol is filled the meter went on 3/4 of its capacity. Find the capacity of the car.
- Two syrups
There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same? - A provision John had provisions for a certain number of days. After 10 days 1/5 of the men desert and he is found that the provisions will now last just as long as before. How long was that?
- Taps and a tank A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
- Vidya Vidya and Peter went for a picnic. Their mother gave them a 5-liter water bottle. Vidya consumed 2/5 of the water, and Peter consumed the remaining water. How much water did Vidya drink? How much water did Peter drink?
- Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each
- Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be? - Class party
A 1/2 of a liter of soda is left after a class party. The 3 students on the clean-up crew will split the soda equally. How many liters of soda does each student get? - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - White paint
A painter needs 4 1/2 gallons of white paint. He has 1 1/4 gallons of white paint in his truck and another 3/6 gallons of white paint in a storage room. How many more gallons of white paint does the painter need? - The human
The human body is 2/3 water. What part of the human body is not water?
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