Volume - math word problems - page 93 of 127
Number of problems found: 2524
- Metal cube
The steel cube has a length of its edge of 5 cm. It is made from steel with a density of 7800 kg/m³. What is the weight of this steel cube? - Fuel Cost per Kilometer
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs the euro. What expression expresses the price of petrol needed for 1 kilometer? - Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Book weight
The book measures 24 cm x 15 cm and is 22 mm thick. Find the package weight of 50 of these books if the paper density is 0.9g / cm3 - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Soil transport
Excavated soil increases the pile's volume by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool? - Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - Cube measurements
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - House extension
Igor is going to build an extension. He has 3 perimeter load-bearing walls, 9.1 m, 6.5 m, and 10 m long. 3 m high. There are two windows: 2 m x 1.5 m. How many blocks measuring 500x250x375 mm should be used to build a wall 375 mm thick? How many pallets a - Powder washes
Mrs. Janka bought washing powder that weighed 5 kg. The powder is enough for 50 washes. However, she decided to fill the measuring cup with powder only three-fifths of the volume. How many washes does the powder last for her? - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²? - Filling Pool to Height
The pool is 15m wide and 40m long and should be filled with water to a height of 2.5m. The water flows at a rate of 400 hl per hour. How many hours will the pool be filled to the required height? - Prism height
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Excavation
The excavation for the cottage's base measures 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil. - Alcohol mixture
Three liters of 96 percent alcohol set up a certain amount of distilled water to form 54 percent alcohol. How many liters of distilled water were used?
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