Cube from sphere

What largest surface area (in cm2) can have a cube that was cut out of a sphere with radius 43 cm?

Correct result:

A =  14792 cm2

Solution:

r=43 cm 2r=3 a a=2/3 r=2/3 4349.6521 cm A=6 a2=6 49.65212=14792 cm2



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 1 comment:
#
Math student
Nice puzzle. It took me a moment to realise my mistake and use 3D Pythagoras so I guess a hint might be helpful to others.

avatar









Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

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   video2   video3

Next similar math problems:

  • Percentage increase
    percent_31 Increase number 400 by 3.5%
  • Functions f,g
    linear_eq_4 Find g(1) if g(x) = 3x - x2 Find f(5) if f(x) = x + 1/2
  • One half
    one_half One half of ? is: ?
  • Nineteenth member
    seq_sum_1 Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19
  • Powers
    1power Express the expression ? as the n-th power of the base 10.
  • Transformer
    transformator Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the transformation ratio, voltage and current in the secondary coil.
  • Factory and divisions
    factory_2 The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
  • Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  • Two equations
    children_23 Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5
  • First man
    workers_7 What is the likelihood of a random event where are five men and seven women first will leave the man?
  • Trees
    tree_1 A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
  • Cube surface area
    cubes2_2 The surface of the cube was originally 216 centimeters square. The surface of the cube has shrunk from 216 to 54 centimeters sq. Calculate how much percent the edge of the cube has decreased.
  • Three dice
    3_cubes When you throw three dice was the sum total of the dice 10. The yellow dice fell one eye more than on the red and brown fell 3 eyes less than red. How many eyes fell on every dice?
  • Cube corners
    polyhedra-truncated-cube From cube of edge 5 cm cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
  • Earth's surface
    earth_globe The greater part of the earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land?
  • Fit ball
    fitball What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
  • Sphere vs cube
    koule_krychle How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?