Fin the volume of a triangular prism with height 16cm, base (a right triangle with sides 7cm, 8cm, and 10cm and the right angle between shorter sides.)
area end: 1/2 (7*8)cm^2
volume=areabase*16cm
A lateral edge of the frustum of a regular pyramid is 1.8 long. the upper base is a square 1mx1 and the lower base 2.4 x 2.4 m square.determine the lateral area.
To find the volume of a triangular prism, you need to multiply the area of the triangular base by the height of the prism.
First, let's find the area of the triangular base using the given side lengths of the right triangle (7cm, 8cm, and 10cm).
We can use the formula for the area of a right triangle: A = (1/2) * base * height.
In this case, the base is the shortest side of the right triangle, which is 7cm, and the height is the side opposite the right angle, which is also 8cm.
So, the area of the triangular base is A = (1/2) * 7cm * 8cm = 28cm².
Next, multiply the area of the triangular base by the height of the prism, which is given as 16cm.
The volume of the prism is V = 28cm² * 16cm = 448cm³.
Therefore, the volume of the given triangular prism is 448 cubic centimeters.