contestada

Cannonballs are stacked in a pyramid shape with a triangular base of 5 cannonballs on a side.How many cannonballs in all are in the stack

Respuesta :

Answer:

There will be 35 cannonballs in the stack.

Step-by-step explanation:

Cannonballs are stacked in a pyramid shape with a triangular base of 5 cannonballs on a side.

The top or first layer will have a single cannonball = 1

The second layer down is a triangle that will have [tex]1+2=3[/tex] cannonballs

The third layer will have [tex]1+2+3= 6[/tex] cannonballs

The fourth layer will have [tex]1+2+3+4 =10[/tex] cannonballs

The fifth or bottom layer will have [tex]1+2+3+4+5=15[/tex] cannonball

Adding those all these we get;

[tex]1+3+6+10+15=35[/tex] cannonballs

Hence, there are 35 cannon balls in the stack.