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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.

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What is the lateral area formula for a prism?

I know the surface area. 2B+ lateral (Ph)


Find the lateral area of a hexagonal prism where all edges are 10cm and the height is 16cm?

960.


What is the total area of a regular hexagonal prism that has a base edge of 8 and height of 8?

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 ).


What is the surface area of a right prism?

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.


How does the product of the perimeter P of the base of the prism and the height h of the prism compare to the lateral area L?

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.

Related Questions

What is the lateral area of a prism with a hexagonal base?

The lateral area is the perimeter of the hexagon times the height (altitude length) of the prism. Same for any other prism.


What is the lateral and surface area of a right 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.


What is the lateral area formula for a prism?

I know the surface area. 2B+ lateral (Ph)


Find the lateral area of a hexagonal prism where all edges are 10cm and the height is 16cm?

960.


What is the lateral area of a hexagon?

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.


Is the surface area of the prism is the sum of the area of the base and lateral faces of the prism?

No, there are TWO bases.


Lateral area of a prism?

The lateral area of a prism is the sum of the area of the lateral faces


What is the surface area of a right prism?

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.


What is the lateral area of a hexagonal prism where all edges are 10cm and the height is 16cm?

Each lateral side is 10*16 = 160 cm2 So the total lateral area is 6*160 = 960 cm2


How do you find the lateral surface of a triangular prism?

The lateral area [L] of a right prism with base perimeter [P] and height [h] is L=Ph.


What is the lateral area of a prism?

It is the sum of the area of the lateral faces


What is a lateral area of a prism?

It is the sum of the area of the lateral faces