# 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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