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: 2346
- 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?
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