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 cm3 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/cm3.
- 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 cm2 surface and a volume in cm3 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 cm3.
- 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 has a density of 1025 kg/m3, ice 920 kg/m3. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.