To find the lateral surface area of a hexagonal prism, first calculate the perimeter of the hexagonal base (P) by adding the lengths of all six sides. Then, multiply the perimeter by the height (h) of the prism using the formula: Lateral Surface Area = P × h. This gives you the area of the sides of the prism that connect the two hexagonal bases.
I know the surface area. 2B+ lateral (Ph)
960.
To calculate the total surface area of a regular hexagonal prism, we need to find the area of the two hexagonal bases and the lateral surface area. The area of one hexagonal base can be calculated using the formula ( A = \frac{3\sqrt{3}}{2} s^2 ), where ( s ) is the base edge. For a base edge of 8, the area of one base is ( \frac{3\sqrt{3}}{2} \times 8^2 = 96\sqrt{3} ). The lateral surface area is the perimeter of the base times the height: ( 6 \times 8 \times 8 = 384 ). Thus, the total surface area is ( 2 \times 96\sqrt{3} + 384 ).
The surface area of a right prism is the sum of the areas of all its faces. The formula for calculating the surface area of a right prism is 2 × (base area) + (lateral area), where the base area is the area of the base shape and the lateral area is the sum of the areas of the remaining faces. The lateral area can also be calculated by multiplying the perimeter of the base shape by the height of the prism.
The lateral area ( L ) of a prism can be calculated using the formula ( L = P \times h ), where ( P ) is the perimeter of the base and ( h ) is the height of the prism. This means that the product of the perimeter of the base and the height is equal to the lateral area. Thus, ( P \times h = L ), indicating a direct relationship between these dimensions in determining the lateral surface area of the prism.
The lateral area is the perimeter of the hexagon times the height (altitude length) of the prism. Same for any other prism.
The lateral area of a prism is the sum of the areas of all the lateral faces. A lateral face is not a base. The surface area is the total area of all faces.Lateral Area: The lateral area of a right prism with base perimeter P and height h is L=Ph.Surface Area: The surface area of a right prism with lateral area L and base area is B is S = L + 2B, or S = Ph + 2B.
I know the surface area. 2B+ lateral (Ph)
960.
Probably you meant to ask what is the lateral area of a hexagonal prism. In that case, it would be the perimeter of one of the bases times the height.
No, there are TWO bases.
The lateral area of a prism is the sum of the area of the lateral faces
The surface area of a right prism is the sum of the areas of all its faces. The formula for calculating the surface area of a right prism is 2 × (base area) + (lateral area), where the base area is the area of the base shape and the lateral area is the sum of the areas of the remaining faces. The lateral area can also be calculated by multiplying the perimeter of the base shape by the height of the prism.
Each lateral side is 10*16 = 160 cm2 So the total lateral area is 6*160 = 960 cm2
The lateral area [L] of a right prism with base perimeter [P] and height [h] is L=Ph.
It is the sum of the area of the lateral faces
It is the sum of the area of the lateral faces