Calcula el area lateral, total y volumen de una piramide hexagonal de 16 cm de arista basica y 28 cm de arista lateral Responde la pregunta 2.

The lateral surface area is 1449.58 cm².

The total surface area is 2114.69 cm².

The volume is 5948.94 cm³.

Step-by-step explanation:

The question is:

Calculate the lateral area, total and volume of a hexagonal pyramid of 16 cm of basic edge and 28 cm of lateral edge. Answer question 2.

Solution:

Consider the diagram of the hexagonal pyramid.

It is provided that:

Base = a = 16 cm

Lateral height = b = 28 cm

Compute the length of Ap = h using the Pythagoras theorem as follows:

Compute the lateral surface area as follows:

Thus, the lateral surface area is 1449.58 cm².

Compute the total surface area as follows:

Thus, the total surface area is 2114.69 cm².

Compute the volume as follows:

Thus, the volume is 5948.94 cm³.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x