Surface Area of Pyramids Practice

Question

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5 of 55 of 5 Items
Question
What is the formula for finding the surface area of a regular triangular pyramid?(1 point)
Responses

SA=2(wl+lh+hw)
cap s cap A is equal to 2 times open paren w l plus l h plus h w close paren

SA=12ab+3(12lb)
cap s cap A is equal to 1 half A b plus 3 times open paren 1 half pounds close paren

SA=a2+2aa24+h2−−−−−−√
cap s cap A is equal to A squared plus 2 A square root of the fraction with numerator A squared and denominator 4 plus h squared end root

SA=lw+12w4h2+l2−−−−−−−√+12l4h2+w2−−−−−−−√

Answer 1

The surface area of a regular triangular pyramid can be calculated with the following formula:

SA = (1/2) * base perimeter * slant height + base area

For a regular triangular pyramid, the base is an equilateral triangle, and the formula can also be expressed as:

SA = (3/2) * (side length) * (slant height) + (√3/4) * (side length)²

However, none of the options you provided seem to accurately represent the standard formula for the surface area of a regular triangular pyramid.

If I had to identify a more appropriate choice from your provided options, I'd say none of them correctly match the surface area formula. The correct expression involves the area of the base and the areas of the triangular faces. Please double-check for more correctly aligned options.