Answer:
The value of x is 3feet
Step-by-step explanation:
Given that the formula of volume of pyramid is V=1/3×base area×height which is 16ft³. So you can just substitute the following value into tye formula:
length = √(x+6)ft
width = 4ft
height = 4ft
volume = 16ft³
base area = length × width
A = √(x+6) × 4
= 4√(x+6)
V = 1/3 × 4√(x+6) × 4
= 1/3 × 16√(x+6)
16 = 1/3 × 16√(x+6)
48 = 16√(x+6)
48/16 = √(x+6)
√(x+6) = 3
x + 6 = 3²
x = 9 - 6
= 3ft
(Hope this can help)
