The volume of the pyramid shown is 16 cubic feet. Find the value of x.

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)