A triangular pyramid is shown on the figure below. The height of the pyramid is 15 inches. The volume is cubic inches

Given:

Base of the pyramid = 16 inches

Height of the base (h) = 20 inches

Height of the pyramid (H) = 15 inches

To find:

The volume of the triangular pyramid.

Solution:

Area of the base (B) =

Area of the base (B) = 160 in²

Volume of triangular pyramid:

where B is base area and h is the height of the pyramid.

in³

The volume of the triangular pyramid is 800 cubic inches.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

cheater

step-by-step explanation: