Cube root + square root - math problems

Number of problems found: 13

Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
One third power
Which equation justifies why ten to the one-third power equals the cube root of ten?
Three members GP
The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
Cube 6
Volume of the cube is 216 cm³, calculate its surface area.
Prism X
The prism with the edges of the lengths x cm, 2x cm and 3x cm has volume 20250 cm³. What is the area of surface of the prism?
Balls
Three metal balls with volumes V₁=71 cm³ V₂=78 cm³ and V₃=64 cm³ melted into one ball. Determine it's surface area.
Rotary cone
Rotary cone whose height is equal to the circumference of the base, has a volume 229 cm³. Calculate the radius of the base circle and height of the cone.
Cube in a sphere
The cube is inscribed in a sphere with volume 7253 cm³. Determine the length of the edges of a cube.
Cone
Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate distance of the cone vertex from this plane, if solids have the same volume.
Root
Use law of square roots roots: ?
Profit growth
The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?
Six speeds
A drilling machine is to have 6 speed ranging from 50 to 750 revolution per minute. If the speed forms a geometric progression, determine their values.

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