Cube root - math word problems - last page

Number of problems found: 214

Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
Power
Number left(sqrt(16 * sqrt[ 7 ] (16)) right)¹⁹ can be written in the form 16^x. Find the value of x.
Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
Root
Use the law of square roots: cbrt (sqrt[2] (sqrt[4] (6))) = sqrt[n] (6)
Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
Lead cube
Calculate the cube's edge made from lead, which weighs 14 kg. The density of lead is 11341 kg/m³.
Cylinder
Calculate the dimensions of a cylindrical container with a volume of 10 litres if its height equals its base diameter.
3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x).
Cube in ball
The cube is inscribed into the sphere of radius 6 dm. How many percent is the volume of the cube of the volume of the sphere?
Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube.
Plasticine ball
Plasticine balls each have a radius of r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are
Cube diagonal
Determine the length of the space diagonal of a cube with edge 23 km.
Eiffel Tower
The Eiffel Tower in Paris is 300 metres high and made of steel. It weighs 8,000 tonnes. If a model of the tower made of the same material weighs 2.8 kg, how tall is it?

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