Practice problems of the volume - page 26 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
- Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model. - Bill paints
Bill paints murals. The table below recorded the total amount of white paint he used for his murals each month. In April, Bill used 2/3 of the amount housed in May. Fill in the amount of white paint BIll used in April in the table below. Month ; gallons o - Fuel efficiency
The gravimetric analysis of an anthracite fuel is 90% carbon, 3% hydrogen, 2% oxygen, and 1% nitrogen. Given that analysis of the dry combustion products by volume is 16.2% CO2, 3.5% O2, and 80.3% N2, during the combustion process of anthracite, which con - Area to volume
The area of one cube wall is 36 cm². What is the volume of the cube?
- Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - Determine 5
Determine the volume of an aquarium with these measurements: length = 78 cm ; width = 6 cm ; height = 43 cm using the formula V=lwh. - The cost
The cost of 5 1/2 of the milk is 4 euros. How will 4 5/7 of milk? - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm³ and weight 9.495kg. Calculate the wall thickness of the pipe.
- Gross profit
Joseph sold the following quantities of kerosene in gallons: 3/4, 5/8, 7/8, and 9/10. How many gallons of kerosene did Joseph sell? How much was his gross profit if a gallon costs P28.00 and he sold it at P32.00? - Hectoliters 61664
There are 1.5 hectoliters of rainwater in the barrel. Two-fifths of the water passed from the barrel while watering the garden. How many liters of water remained in the barrel? - Five-eighth 61644
The glass can hold five-eighth liters of water. How many glasses would we fill with two five-liter bottles? - Percentage 61594
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm. - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm.
- Temperature 61484
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius r1 = 1 cm at a temperature of t1 = 4 °C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a tempera - Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism.
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