Practice problems of the volume - page 2 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: 2351
- Cesar
Cesar increased the amount of water he drinks each day from 64 ounces to 72 ounces. By what percentage did Cesar increase the amount of water he drinks each day? - Steve 3
Steve is making breakfast. The recipes call for 7/8 cup of milk for grits and 3/4 cup for biscuits. He only has 2 cups of milk. Does he have enough to make his breakfast? - Rodrigo’s
Rodrigo's fish bowl holds 7/8 gallons of water. It is now 1/2 full. How much water is in it? - Mr. Ali
Mr. Ali gave 26 liters of orange juice to his 3 kids equally. How much did each kid get?
- The painter
Alex had 5/6 liter of white paint. He used 1/8 of it to paint the walls and 2/5 of the remaining to paint the fence. How much paint is left? - Martin 9
Martin poured 5 liters of lemon tea equally in 2 bottles. How much lemon tea was there in each bottle? - Solution mg/ml
If 70 ml of solution contains 280mg of drug, how many milligrams of drugs are in 50 ml of solution? - Complete 16
Complete the conversions below, show calculations and answers 1) 3.5 kg to gram 2) 4567ml to litres 3) R45.78 to cent 4) 5.60m to centimeters - Liquid density
What is the volume if the measure is 20kg and the density is 2kg/m³?
- Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - Jason 3
Jason bought 3 liters of cola. He drank 3/5 liters of it and gave 2/7 liters to his brother. How much cola did Jason have left? - A cube 3
A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter? - A two 2
A two-wheeler covers 68.9 km in one liter of petrol. How much distance will it cover in 10 liters of petrol? - Jada keeps
Jada keeps bees on her farm. This morning, she collected 2 pounds of honey. She is putting the honey in jars to sell at her farm stand. Each jar holds 5/9 of a pound of honey. How many jars worth of honey does Jada have?
- Tara combines
Tara combines 2 1/4 liters of iced tea and 3 liters of lemonade into a jug. She then pours 3/4 liter of the tea/lemonade mixture into each glass. How many glasses of the mixture can she pour? - The pricelist
The price list of AB homegrown production: item; price per pound green cabbage; 0.49 USD/lb yellow squash; 1.29 USD/lb strawberries; 1.99 USD/lb peppers; 0.99 USD/lb Tony purchased a cabbage that weighed 1 2/5 pounds. She also purchased 2 pounds of squash - Tim collected
Tim collected 1/2 of a bin of glass bottles to recycle. Dale collected 7 times as many bins as Tim. How many bins of bottles did Dale collect? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Orange juice
Water and orange are mixed in a ratio of 7:4. An amount of 36 cm³ of orange is used. What volume of water is used?
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