The surface area of a triangular pyramid can be calculated using the formula:
Surface Area = (1/2) * base perimeter * slant height + base area
First, calculate the base perimeter:
Base Perimeter = 3 * 15 cm = 45 cm
Now, calculate the surface area:
Surface Area = (1/2) * 45 cm * 17 cm + (1/2) * 15 cm * 13 cm
Surface Area = 384 cm2
Therefore, the surface area of the triangular pyramid is 384 cm2.
Use the image to answer the question.
An illustration shows a net diagram of a triangular pyramid. The diagram is formed by 4 connected triangles representing each face of the pyramid. The base is at the center of the net diagram. It is an equilateral triangle with a side length measuring 15 centimeters and a height of 13 centimeters. Each side of the base represents the base of an adjoining triangle. The three other triangular faces are identical. They each have a base length measuring 15 centimeters and a slant height of 17 centimeters.
The triangular pyramid has a base of an equilateral triangle that is 15 cm on each side and is 13 cm across. The sides have a slant height of 17 cm. What is the surface area of this triangular pyramid?
(1 point)
Responses
384 cm2
384 cm squared
98 cm2
98 cm squared
128 cm2
128 cm squared
482 cm2
1 answer
1 answer