Volume + expression of a variable from the formula - practice problems - page 31 of 32
Number of problems found: 630
- Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism. - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross?
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm.
- Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Cube basics
How long is the edge length of a cube with volume 15 m³? - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - Triangular pyramid
It is given perpendicular regular triangular pyramid: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What is the pumping velocity you would
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water? - Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Water tank
The water tank shape cuboid has a width of 2.3 m and length twice larger. How high will reach water if water flows into 19 liters of water per second during 52 minutes?
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