Tower

Charles built a tower of cubes with an edge 2 cm long. In the lowest layer there were 6 cubes (in one row) in six rows, in each subsequent layer always 1 cube and one row less. What volume in cm3 did the whole tower have?

Correct answer:

V =  728 cm3

Step-by-step explanation:

a=2 cm  V1=a3=23=8 cm3  n=6 6+5 5+4 4+3 3+2 2+1=91  V=n V1=91 8=728 cm3



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Cube corners
    odrezok_kocky A small cube with an edge length of 2 cm was cut from each corner of a large cube with an edge length of 10 cm. How many cm3 was the body left from the big cube after cutting the small cubes?
  • Salat
    sazenice-okurek Grandmother planted salad. In each row, he planted 13 seedlings. After a morning frost, many seedlings died. In the first row, five seedlings died. In the second row, two seedlings died more than 1st row. In the third row, three seedlings died less than 1
  • Cans
    konzervy How many cans must be put in the bottom row if we want 182 cans arrange in 13 rows above so that each subsequent row has always been one tin less? How many cans will be in the top row?
  • Cube corners
    2cube The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
  • Into box
    cubes3 How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm; 8.9 cm and 13.75 cm?
  • Cubes - diff
    cube Second cubes edge is 2 cm longer than the edge of the first cube. Volume difference blocks is 728 cm3. Calculate the sizes of the edges of the two dice.
  • Two boxes-cubes
    3-kostky Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?
  • Cardboard box
    karton_krabica Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit exactly 108 cubes with an edge 1 dm long. Julia cut four squares with a side of
  • Cutting the prism
    cube333 A prism with a square base with a content of 1 cm2 and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?
  • Mike chose
    cubes2 Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder
  • Quadrilateral pyramid
    jehlan We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base content 2/casing content 3/pyramid surface 4/volume of the pyramid
  • Cubes
    kocky How many cubes with an edge length of 5 cm may fit in the cube with an inner edge of 0.4 m maximally?
  • The cube
    cubes The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
  • Bricks pyramid
    The_Great_Pyramid How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
  • Pyramid in cube
    pyramid_in_cube In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid.
  • A butter
    cube_shield A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm2 the package is larger than the surface of the cube.
  • Water block
    cukr A block with a 50 cm2 base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?