The length of the base edge of a pyramid with a regular hexagon base is represented as x. the height of the pyramid is 3 times longer than the base edge. the height of the pyramid can be represented . the of an equilateral triangle with length x is units2. the area of the hexagon base times the area of the equilateral triangle. the volume of the pyramid x3 units3.1. a 3 b 3+x c 3x d 92 a altitude b apothem c area d volume  3 a 2 b 3 c 4 d 64 a 3/2 b 3 c 6 d 9/2

(a)

h=3x

(b)

(c)

(d)

units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

h=3x

b=x

now, we can plug values

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

units^3

The true statements are:

The length of base edge is given as:

The height is three times the length.

So, the expression that represents the height is:

The area of an equilateral triangle is then calculated as:

Where l represents the side length of the triangle.

So, we have:

The area of the hexagonal base is 6 times the area of the triangle.

This is so because, an hexagon has 6 sides

So, we have:

Lastly, the volume of the pyramid is then calculated as:

This gives

So, we have:

Read more about volumes at:

link

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)