# Third power - math word problems

- An example

An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of - Cuboid and ratio

Find the dimensions of a cuboid having a volume of 810 cm^{3}if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5 - Wall thickness

The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm^{3}. - The ball

The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - 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 cm^{2}surface and a volume in cm^{3}expressed by the same number. - Alien ship

The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - Divide 8

Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z - Right circular cone

The volume of a right circular cone is 5 liters. Calculate the volume of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. - 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 into cylinder

If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge? - Cube root

For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong? - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Perfect cubes

Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Volume of ball

Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π - The volume 2

The volume of a cube is 27 cubic meters. Find the height of the cube. - Cube diagonals

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm^{3}. - Body diagonal

Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal. - Edges or sides

Calculate the cube volume, if the sum of the lengths of all sides is 276 cm. - Seawater

Seawater has a density of 1025 kg/m^{3}, ice 920 kg/m^{3}. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.

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