Instruction

1

If you are dealing with a sloping prism, its

**height**can be found, knowing the volume (V) of this**prism**and the area of its base (S MST). Based on the formula volume (V = S, DOS. x h),**the height****of the prism**can be found by dividing the volume by the area of the base. Thus, if the volume of your**prism**– 42 cubic inches, and the area of its base is 7 inches square, its height will be equal to 42 : 7 = 6 cm2

If the condition you are given a direct prism, its height is somewhat easier. As a straight prism lateral edges perpendicular to the bases, the length of each of these edges is equal to the height

**of the prism**. The length of a side edge (and therefore**altitude**) can be found, knowing the lateral surface area (S side.) and perimeter of base (P OSN.)**prism**. Based on the fact that the area of the lateral surface of the straight**prism**is equal to the perimeter of the base multiplied by the length of a side edge, the very lateral edge can be found by the formula S side. : P OSN. So, if the area of the lateral surface of the straight**prism**is 36 square centimeters, and the perimeter of its base is 12 cm, then its lateral edge (and height) will be equal to 36 : 12 = 3 cm.3

If in the condition stated, that you are given a prism is correct, it means that its Foundation represent regular polygons, and the side edges are perpendicular to them. We are a special case of a straight

**prism**, so its height is also equal to the length of any side of the ribs.