Cube root - math word problems - page 10 of 11

Number of problems found: 201

Center of the cube
The Center of the cube has a distance 40 cm from each vertex. Calculate the volume V and surface area S of the cube.
Balls
Three metal balls with volumes V₁=12 cm³, V₂=112 cm³, and V₃=59 cm³ were melted into one ball. Determine its surface area.
Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone.
Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone.
Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube.
Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen?
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 rotating cylindrical containers with volume 10 l if the container's height is equal to the base's 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 - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
Plasticine ball
Plasticine balls have a radius 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 molded
Cube diagonal
Determine the length of the cube diagonal with edge 23 km.

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