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3. A hexagonal pyramid has the following measures:
base area = 41.5 cm2
slant height = 7cm
height = 6 cm
area of one lateral face = 14 cm?
a. Calculate the pyramid's volume. Show your work.
Include units.
b. Calculate the pyramid's surface area. Show your
work. Include units.

3 A hexagonal pyramid has the following measures base area 415 cm2 slant height 7cm height 6 cm area of one lateral face 14 cm a Calculate the pyramids volume S class=

Respuesta :

MrRoyal

The surface area of the hexagonal pyramid is the amount of space on it

  • The volume of the pyramid is 83 cubic centimeters
  • The surface area is 125.5 square centimeters

The pyramid's volume

The given parameters are:

  • base area = 41.5 cm^2
  • slant height = 7cm
  • height = 6 cm
  • area of one lateral face = 14 cm^2

This is calculated using:

V = 1/3Bh

So, we have:

V = 1/3 * 41.5 * 6

Evaluate the product

V = 83

Hence, the volume of the pyramid is 83 cubic centimeters

The pyramid's surface area

This is calculated using:

S = L + B

Given that:

  • base area = 41.5 cm^2
  • area of one lateral face = 14 cm^2

A hexagonal pyramid has 6 lateral sides.

So, we have:

S = 6 * 14 + 41.5

Evaluate

S = 125.5

Hence, the surface area is 125.5 square centimeters

Read more about areas and volumes at:

https://brainly.com/question/1972490

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