Cube root - math word problems - page 10 of 11

Number of problems found: 214

Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder.
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 hollow steel 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
Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam
Cube basics
How long is the edge length of a cube with volume 1 m³?
Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.9 liters. What is its surface?
Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height.
Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.1 liters of water.
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?
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.
Task
I have homework. The cube's edge is 14 cm long, and I must find the diagonal between the wall and the body.
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
A cube is inscribed in a sphere with volume 8101 cm³. Determine the edge length of the cube.
Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 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?

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