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An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters. The distance between the tallest points of the two pyramids is 2 centimeters.
What is the surface area of the 8-sided figure?

3.75 square centimeters
6 square centimeters
7.5 square centimeters
12 square centimeters

Respuesta :

CastleRook
This is the concept of surface area of solid figures;
The surface area of the die will be given by:
SA=1/2(a*b)*[number of faces]
a=height or triangle=2 cm
b=base of the triangle=(6/4)
SA=[1/2*(6/4*2)*8]
SA=12 square units
The answer is 12 square units
Lanuel

Based on the calculations, the surface area of the 8-sided figure is equal to: C. 7.5 square centimeters.

How to calculate the surface area of a pyramid?

In this exercise, we know that the perimeter (P) of the base shape is equal to 6 centimeters while the distance between the tallest points of the two pyramids is equal to 2 centimeters, so its height would be 1 centimeter.

Thus, the side length of the base shape is given by:

Side length = P/2

Side length = 6/4

Side length = 1.5 centimeters.

Next, we would determine the hypotenuse of the right-angle triangle by applying Pythagorean's Theorem:

EM² = EO² + OM²

EM = √(1² + 3/4²)

EM = √(1 + 9/16)

EM = 1.25 cm.

Also, we would determine the surface area of the 8-sided figure (traingle EBC):

Area = 0.5 × 1.5 × 1.25

Area = 7.5 square centimeters.

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867