The wading pool shown is a trapezoidal prism with a height of a total volume of 286 cubic feet. What is the missing dimension?

Question

**The drawing shows the shallow height is 2ft. Length is 13ft. Width is 8ft. And a question mark for the height of the deeper end of pool.
THANK YOU!!

Answer 1

Make a sketch showing the trapezoid in a side view.
Volume = (area of trap) x 8
= (13(2 + h)/2)(8)
= 52(2+h) = 286
104 + 52h = 286
h = .....

Answer 2

3.5 ft

Answer 3

The actual answer is 1.834 because 156x1.834 is 286 btw I am in 7th grade.