Answer:
height = h = 13.4 cm
volume = V = 602.8 cm³
Step-by-step explanation:
area of a square base = 15 cm x 9 cm = 135 cm²
slant height of pyramid = 16m
<u>solving height:</u> (see attached image)
first step is to take the diagonal base:
side of base 15 = 15 / 2 = 7.5cm
side of base 9 = 9 / 2 = 4.5m
diagonal base = sqrt ( 7.5² + 4.5²) = 8.75 cm
therefore
height² = slant height² - diagonal base²
h² = 16² - 8.75²
h = 13.4 cm
<u>solving the volume:</u>
V = 1/3 * area of square base * h
V = 1/3 * 135 * 13.4
V = 602.8 cm³