The wedge pictured below has the shape of a prism whose bases are congruent right triangles and whose width is 1.5 inches. Which of the following is the volume of the wedge in cubic inches?
1.5 in
2 in
5 in
(1) 7.5
(2) 10.75
(3) 12
(4) 15

explanation:

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secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16