# Third power + square root - math problems

#### Number of problems found: 14

• Cube surfce2volume Calculate the volume of the cube if its surface is 150 cm2.
• 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.
• Magnified cube If the lengths of the edges of the cube are extended by 5 cm, its volume will increase by 485 cm3. Determine the surface of both the original and the magnified cube.
• One third power Which equation justifies why ten to the one-third power equals the cube root of ten?
• Length of the edge Find the length of the edge of a cube that has a cm2 surface and a volume in cm3 expressed by the same number.
• 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 Surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
• 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.
• Sphere The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Sphere A2V Surface of the sphere is 241 mm2. What is its volume?
• Derivative problem The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal.
• Volume and area What is the volume of a cube which has area of 361 cm2?

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