Asculpting tool is in the shape of a solid triangular prism. the tool is made of 12 in.3 of metal and is 4 in. long. what is the height of the base if it is 2 in. wide? a. 1.5 in. b. 3 in. c. 48 in. d. 96 in.

Volume of prism = A(base)*(height of prism)
12 = A(base) * 4
A(base)=12/4=3
A(base of prism )=3 in²

The base is a triangle. Area triangle = 3.
Area of a triangle = (1/2)*(base of triangle)*(height of triangle)
3 = (1/2)*(2)*(height of triangle)
(height of triangle)=3 in.

Answer is B. 3 in.

Volume of prism = A(base)*(height of prism)12 = A(base) * 4A(base)=12/4=3A(base of prism )=3 in²
The base is a triangle. Area triangle = 3.Area of a triangle = (1/2)*(base of triangle)*(height of triangle)3 = (1/2)*(2)*(height of triangle)(height of triangle)=3 in. 
3 in

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.