Practice problems of the volume - page 7 of 117
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: 2323
- Determine 40323
Determine the volume of the attic space 360 cm 620cm 450cm - Calculate 7587
Calculate the volume and surface of a block 3 cm wide, 6 cm long, and 8 cm high. - Inscribed 6155
A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies. - A piece 8
A piece of metal has a mass of 2210 g. The volume of the metal is 260 cm³. What is the density? - Taylor
Taylor filled eight 5 oz glasses with orange juice ⅔ full. Emeline filled five 9 oz glasses with orange juice ¾ full. Who used more juice? - A tank
A tank is 7/9 full of water,1/5 of the tank is drawn in the morning, and 1/3 is drawn in the evening. What fraction of water is still in the tank? - 13 gallons
Thirteen gallons of water are used to fill three fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold? - Cylinder S,V
What is the volume and surface area of a cylinder whose base has a diameter of 3.15 cm and a height of 25 cm? - Science liquids
Each group is given 11/8 liters of purple liquid for a science experiment. How many liters are needed for the three groups? - Chiesey
Cheesy drank ¾ of a 320ml bottle of water. Colley drank ⅔ as much water as Cheesy did. How many ml of water did Colley drink? - Mr. Franklin
As shown, Mr. Franklin built a new set of stairs to his side door. What is the total volume of Mr. Franklin's unique set of stairs? - Cathy
Cathy has 5 cups of peanuts to share with her family. If each family member gets 1/2 cup of peanuts, how many family members can have some? - A recipe
A recipe requires 3/4 cups of milk. Paula is making 1/2 of the recipe. How many cups will Paula use? - The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir? - Jansen
Jansen had 1.3 liters of fruit juice. He drank 0.5 liters during lunch. How many liters of fruit juice does he have left? - Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it? - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - A swimming pool
A swimming pool holds 30000 lt of water. How many gallons does it hold? 1 gallon= 4.55 lt - Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm3 - Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π
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