Volume - math word problems - page 94 of 128
Number of problems found: 2549
- Cube changes
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - 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? - Z7-1-6 MO 2017
The water sprite Chaluha was pouring fog into various differently sized vessels, which he had carefully arranged on a shelf. When pouring, he proceeded gradually from one side, skipping no vessel. Into each vessel at least a decilitre of fog fits. If he w - Fuel Cost per Kilometer
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs one euro. Write an expression for the cost of fuel needed to drive 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 0.9 g / 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 quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm 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 at a scale 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, each 3 m high. There are two windows: 2 m × 1.5 m each. How many blocks measuring 500 × 250 × 375 mm are needed to build a wall 375 mm thick? How many - 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 edges of a cuboid are in the ratio 2:3:6. Its space 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?
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