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The shape in the figure is to be submerged in water.
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How much water, in cubic centimeters, would be displaced by the prism?
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We are asked to give our answer in cubic centimeters.
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This means that the amount of water that will be displaced is equal to the volume of the prism.
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The volume of any prism can be calculated by multiplying the area of the cross section by its length.
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In this question, the cross section is a triangle.
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We can calculate the area of any triangle by multiplying the base by the perpendicular height and then dividing by two.
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As all of our units are in centimeters, in this question, this is multiplying six by five and then dividing by two.
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The length of the prism is 15 centimeters.
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So, we need to multiply this answer by 15.
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Six multiplied by five is equal to 30.
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Dividing this by two or halving it gives us 15.
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Multiplying 15 by 15 gives us 225.
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The volume of the triangular prism is 225 cubic centimeters, which means that this is the amount of water that is displaced.