The Giant's Causeway is an area in Northern Ireland or nearly 40000 interlocking blocks that were formed from a volcanic eruption. Most of the blocks have the shape of a regular hexagon. The area of the top of one block is 585 cm2 and the distance from each side to the centre is 13 cm. What is the length of each side of a block? Write a math statement to show your solution process and given your final answer.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

for this case we have that by definition, the volume of a cylinder is given by:

where:

r: it's the radio

h: it's the height

we have as data that:

substituting:

so, the cylinder volume is

option d