Volume - math word problems - page 27 of 128
Number of problems found: 2549
- Side deviation
A frustum has base radii r₁ and r₂ where r₁ > r₂, r₂ = s, and the slant side makes an angle of 60° with the base plane. Express the surface area and volume of the frustum in terms of its slant height s. - Solution mixing extent
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Capacity of the box
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - Cylinder diameter height
The cylinder's volume is 5 l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Hemisphere layer
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Cylindrical rod
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid with a height of 30 cm and a slant height (wall height) of 50 cm? - Car plank capacity
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - Aquarium fish capacity
You need to count 3 liters of water for one fish in the aquarium. Jerry has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jerry can keep in this aquarium if the water level reaches 5 cm below the top edge - Wooden 3 A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed
- Spherical layer
What is the volume of the spherical layer that remains after cutting the paragraphs on both sides of the ball, whose height is 3.5 cm? Is the diameter of the ball 24 cm? - Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s. - Cube edge creation
From how many cubes with a 4 cm edge can a cube with a 16 cm edge be created? - Fertilizer water proportion
0.6 litres of fertiliser is mixed with 40 litres of water. How much fertiliser should be used per 10 litres of water? - Prism height expression The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres.
- Nina used
Nina used 2 liters of paint to paint a wall. The wall was a rectangle 2 meters high and 4 meters wide. How many liters of paint would she need to paint a rectangular wall which is 2.5 meters high and 8 meters wide? - Ava filled
Ava filled three cups with different amounts of water: 225 ml, 370 ml, and 435 ml. Which of the following is the total amount of water, in liters, that Ava used to fill the three cups? - Four-sided prism
Find the surface area and volume of a four-sided prism high 10 cm if its base is a rectangle measuring 6 cm and 1.4 dm.
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