Tell whether the triangle with the given side lengths is a right triangle.
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Answer:
The volume of a square based pyramid is <u>645.3 cubic inches</u>.
Step-by-step explanation:
Given:
The side of the base is 10 inches and the height of the the triangular face is 20 inches.
Now, to find the volume of square based pyramid.
Base side (a) = 10 inches.
Slant Height (s) = 20 inches.
Now, to get the height of pyramid by using pythagorean theorem:
Leg 1 =
Hypotenuse = 20 inches.
So,
Hypotenuse² = (leg 1)² + (leg 2)²
<em>Using square root on both sides we get:</em>
<em /><em />
<em>leg 2 = 19.36 inches.</em>
Thus, the height of pyramid = 19.36 inches.
Now, to get the volume of square pyramid we put formula:
h = 19.36 inches.
a = 10 inches.
<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>
Therefore, the volume of a square based pyramid is 645.3 cubic inches.