A triangular prism has a base area of 7.3 cm and a volume of 71.54 cm. The height of the prism must be...

a. 3.65 cm
b. 7.3 cm
c. 9.8 cm
d. 19.6 cm

An explanation of the answer would be very much appreciated!

C.9.8 cm

Step-by-step explanation:

divide 7.3  divided by 71.54

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1