Practice problems of the volume - page 15 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2346
- Rana bought
Rana bought 30 liters of gasoline for 575 l per liter. She also bought 3 kg of motor oil for 9.750 l. Find the total amount of money Rana paid in one step only. - June bought
June bought 3 1/2 gallons of white paint at $17.50 per gallon and 1 3/4 gallons of blue paint at $19.00 per gallon. What was her total cost? - Prism-shaped 78774
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6m wide, the bottom is 4m wide, the pool is 2m deep, and the pool is 12m long? - Two-thirds 78754
There are 90 liters of water in the rainwater barrel. Dad drained two-thirds of the barrel. How many liters of water are left in the barrel? - Calculate 78514
The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64cm³. Calculate the volume of the cuboid in cm³. - 6 Pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only five pipes of the same type are used? Give your answer in hours and minutes. - Thabo
Thabo uses 3 ½ liters of petrol per week for his motorcycle. How long will he be driving with 49 liters? - Energy drink
You have 1/5 of an energy drink left. If you drink 1/5 of that, how much of your energy drink did you have left? - Car uses
The car uses 91 liters of petrol to travel 700km. Determine the rate in liter per 100km. - Fabric 78284
How many m³ of fabric do we need to buy to make 20 cubes with an edge of 4.5 dm? - Cube-shaped 77974
How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water? - A car 6
A car holds 15 liters of fuel. The car consumes 3 liters of fuel each 100 km. We started a trip of 350 km with a full tank of fuel. How much fuel remains in the tank at the end of the trip? - Femma
Emma mixes 1 7/8 cup of water with 2/3 cup of orange juice as a part of a recipe. How many cups is her mixture? - One-third 77724
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Marbles 4
Sipho has a cylindrical tank with a radius of 8cm and a height of 10cm. The bottom of the tank is filled with marbles, and the tank is then filled with water to a height of 6,4 cm. When the marbles are removed, the water level drops to 4cm. Using the info - Full of water
From a tank full of water, a man removed 2/7 of it. If it now contains 450 liters, how many liters does it hold when full? - Conversion 77474
A wooden prism is 220 cm long, 10 cm high, and 10 cm wide. What is the conversion of its volume to m³? - A gasoline
A gasoline station sells 1,456 liters of regular gasoline in one day. If gasoline sells for PHP 57.50 a liter, what is the peso amount of regular gasoline sold? - Block-shaped 77124
The block-shaped pool, 50m long, 18m wide, and 2.5m deep, is filled 30cm below the edge. How many hectoliters can fit in a pool? - Pineapple juice
The caterer prepared 25 1/4 liters of pineapple juice, 15 3/5 liters of soursop juice, and 10 7/10 liters of orange juice. How many liters of juice were prepared in all?
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