Kayla construct square pyramid and its surface area is equals to
340square inches.
What is square pyramid?
" Square pyramid is defined as a three dimensional geometrical shape with square as its base and lateral faces are formed by four triangle joined at a vertex."
Formula used
Surface area of the square pyramid
= Area of the base + Area of the four triangles
Area of the square = (side length)²
Area of the triangle = [tex]\frac{1}{2}[/tex] × base × height
According to the question,
Number of isosceles triangle = 4
Number of square = 1
Side length of the square = 10inches
Height of the triangle = 12inches
Measure of congruent sides of the triangles=13 inches
Substitute the value in the formula we get,
Area of the square [tex]= (10)^{2}[/tex]
[tex]=100[/tex] square inches. ____(1)
Here Side of the square is the base of the triangle
Therefore, Base of the triangle = 10inches
Area of the one triangle [tex]= \frac{1}{2} (10)(12)[/tex]
[tex]=60[/tex] square inches
Area of the four triangles = 60 × 4
= 240 square inches ____(2)
Substitute the value of (1) and (2) to get the value of ,
surface area of the square pyramid = 100 + 240
= 340 square inches
Hence, Kayla construct square pyramid and its surface area is equals to
340square inches.
Learn more about square pyramid here
https://brainly.com/question/22992395
#SPJ2
