Answer:
Step-by-step explanation:
When solving any problem, you start by understanding the given information and the question that you're being asked to answer. Here, you are given the volume of a triangular prism and asked to find its height. All other relevant dimensions are given.
Next, you need to draw on your memory (and perhaps other resources) to find the necessary relationship(s) between the given information and what you are asked to find. Here, that relationship is the formula for the volume of the triangular prism.
If b is the base of the triangle, and h is its height, then the area of the triangle is ...
A = (1/2)bh
If w is the distance from one triangular face of the prism to the other, then the volume is given by ...
V = Aw = (1/2)bhw
Solving for h by dividing by its coefficient, we get ...
h = 2V/(bw)
This formula works for both problems.
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<u>Left Problem</u>
V = 880 cm^3, b = 8 cm, w = 10 cm
h = 2(880 cm^3)/((8 cm)(10 cm))
h = 22 cm
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<u>Right Problem</u>
V = 1176 cm^3, b = 12 cm, w = 14 cm
h = 2(1176 cm^3)/((12 cm)(14 cm))
h = 14 cm
