Practice problems of the volume - page 18 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: 2345
- Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Casserole 72634
The casserole with a volume of V = 4.5 l has a depth of h = 10 cm. Calculate its inside diameter. - Recommended 72614
There is information on the syrup bottle that it is recommended to dilute it in a ratio of 1: 6. How much lemonade would we make if we bought a bottle of syrup with a volume of 0.5 l? - Centimeters 72534
Calculate the edge c and the surface S of a block if its volume is equal to 42 cubic centimeters, a = 6cm, b = 3.5cm, c =? - Surface 72394
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube. - Cylinder 72094
The tank has the shape of a rotating cylinder with a base radius of 6 m reach. Water flows at a speed of 2 liters per second for 3 hours. To what height does the water in the tank? - Pancake mix
According to a recipe, each batch of pancake mix can make 12 pancakes. Lilly is making three batches for a brunch party. If each batch needs 7/12 cups of milk, how much milk does she need in total? - The largest 4
The largest room in the quarantine area is 45 m long and 30 m wide. The height of the room is 15 m. If the occupancy guidelines recommend at least five m³ per person, what is the maximum number of people allowed in the room? - Jana mixing
Jana mix is 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. Each serving is 1/16 gallon. How many servings can go in? Make sure you work. - Juice servings
Dina has 3 5/8 liters of pineapple juice. If one serving is 1/4 liter, how many servings of pineapple juice does she have? - Cylinder-shaped 71844
The cylinder-shaped tank with a diameter of 100 cm is 50% full and contains 7850 l of water. What is the height of the tank? - Cylindrical 71714
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 cm? - Beni has
Beni has a rectangular tub with a height of 50 cm, a width of 70 cm, and a length of 90 cm. He will fill the tub with water. The amount of water needed to fill 2/3 of Beni's tub is : - Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore he needs to make the height of the Tetrapak. - Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Calculate 71374
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Calculate 71364
Calculate the surface of a block whose two sides measure 12.8 cm, 162 mm and have a volume of 3,214.08 cm3 - Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank? - Submerged 71144
The cork body floats first in water and then in glycerol. The submerged volume of the cork body in water is 0.0006 m3, and in glycerol, it is 0.0005 m³. The density of water is 1000 kg/m3, and the density of glycerol is 1200 kg/m³. C
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