What is the surface area of Sally's Pyraminx? Write your answer in decimal form. Round to the nearest hundred. ( 4 in. 4 in. 4 in. ). ( h = 3.646 in. )

Answer 1

The formula to calculate the surface area of a pyramid is:

Surface Area = 1/2 * Base Perimeter * Slant Height + Base Area

Given that the base of Sally's Pyraminx is a triangle with side length 4 inches and height 3.646 inches, the base perimeter can be calculated as 4 + 4 + 4 = 12 inches. The base area can be calculated as 1/2 * base * height = 1/2 * 4 * 3.646 = 7.292 square inches.

The slant height of the pyramid is given as 3.646 inches.

Now we can plug these values into the formula:

Surface Area = 1/2 * 12 * 3.646 + 7.292
Surface Area = 21.936 + 7.292
Surface Area = 29.228 square inches

Rounded to the nearest hundredth, the surface area of Sally's Pyraminx is approximately 29.23 square inches.