Please answer and explain.?

Question

What is the volume of a right, rectangular prism with side, front and bottom faces having area 15 square inches, 10 square inches and 6 square inches, respectively?

Answer 1

Let dimensions of prism be x , y , h ins
hx = 10
hy = 15
xy = 6

y = 6 / x
h (6/x) = 15
h = 15x / 6 = 5x / 2

( 5 x / 2 ) ( x ) = 10
x ² = 20 / 5 = 4
x = 2
y = 3
h = 5
V = 2 x 3 x 5 in ³
V = 30 in ³

Answer 2

30