Answer:
2623.6144m²
Step-by-step explanation:
Total Surface Area of a Square Pyramid
a * (a + √(a² + 4h²))
where,
a = area of base
h = height
Using the formula above
a * (a + √(a² + 4h²))
data given :
a = 36
h = 4
a * (a + √(a² + 4h²))
T.S.A. = a * (a + √(a² + 4h²))
Inputting values
T.S.A. = 36 * (36 + √(36² + 4 * 4²))
T.S.A. = 36 * (36 + √(36² + 4 * 16))
T.S.A. = 36 * (36 + √(36² + 64))
T.S.A. = 36 * (36 + √(1296 + 64))
T.S.A. = 36 * (36 + √(1360))
T.S.A. = 36 * (36 + 36.87817782917154)
T.S.A. = 36 * (72.87817782917154)
T.S.A. = 36 * 72.8782
T.S.A. = 2623.614401850175
Therefore Total Surface Area (T.S.A.) is 2623.6144m²
