What is the volume of the pyramid shown?

120in. ^3

540in. ^3

22in. ^3

7.33in. ^3

The answer to your question is 440 in³, this is my result I can not see the height in the picture I think the number is 40 in

Step-by-step explanation:

Data

length of a side = 6 in

height = 40 in           Is really 40?

Volume of a square pyramid = ?

Process

1.- Calculate the area of the base

Ab = 6 x 6

    = 36 in²

2.- Calculate the volume of the Pyramid

Volume of a square pyramid = 1/3 (36 x 40)

                                                = 1440 / 3

                                                = 480 in³

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form