What is the volume of this triangular pyramid?9 cm10 cm5 cm cubic centimeters
Question
What is the volume of this triangular pyramid?9 cm10 cm5 cm cubic centimeters
Solution
The volume of a triangular pyramid is given by the formula: V = 1/3 * base area * height.
In this case, the base of the pyramid is a triangle, so we first need to find the area of the base. The area of a triangle is given by the formula: A = 1/2 * base * height.
Given that the base of the triangle is 9 cm and the height is 10 cm, the area of the base is: A = 1/2 * 9 cm * 10 cm = 45 cm^2.
Now we can find the volume of the pyramid. Given that the height of the pyramid is 5 cm, the volume is: V = 1/3 * 45 cm^2 * 5 cm = 75 cm^3.
So, the volume of the triangular pyramid is 75 cubic centimeters.
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