The value of the solid's surface area is equal to the value of the solid's volume. find the value of x    x=_in.

we know that

step 1

Find the surface area of the box

the surface area  of the box is equal to

S=2*area of the base+perimeter of the base*height

in this problem

area of the base=11*3=33 in^2

perimeter of the base=2*(11+3)> 28 in

height=x

S=2*33+28*x> S=(66+28*x) in^2

step 2

Find the Volume of the box

the volume of the box is equal to

Volume=area of the base*height

area of the base=11*3=33 in^2

height=x

Volume=33*x  in^3

step 3

equate the value of the surface area with the value of the volume

(66+28*x)=33*x

33*x-28*x=66

5*x=66

x=66/5> x=13.2 in

the answer is

the value of x is 13.2 in