Answer:
Slant height of pyramid = 10.4 m
Step-by-step explanation:
Points to remember
Volume of square pyramid = a²h/3
Where 'a' is the side of base and h is the height of pyramid
To find the height of pyramid
It is given that volume of square pyramid = 120 cm³ and
base a = 6 cm
a²h/3 = 120
h = (120 * 3)/a²
= (120 * 3)/6²
=10 cm
Therefore h = 10 cm
To find the slant height of pyramid
By using Pythagorean theorem we can write,
slant height ² = (base/2)² + height²
l² = (a/2)² + h²
= (6/2)² + 10²
= 3² + 10²
= 9 + 100
=109
l = √109 = 10.44 ≈ 10.4
