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: 2346
- 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. - A box 4
A box open at the top has a rectangular base of 200mmx300mm and an altitude of 150mm. If the base and the sides are 10mm thick, find the total surface area of the box. - Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0cm is submerged in the cone. Find the volume of water below the sphere. - Block-shaped 60983
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built? - Dimensions 60943
We will reduce one edge of the block with dimensions of 2cm, 4cm, and 6cm by 20%. How does the volume of a block change? What percentage? - Kindergarten 60933
Each of the 60 kindergarten children drank 1.5 liters of milk on Monday morning and 1.8 liters of milk in the afternoon. How many liters of milk did all the children of this kindergarten drink on Monday?
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