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What is the formula for the lateral area of a right prism where p is the perimeter of the base and h is the height of the prism?
It is p*h square units.
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.
Given a right prism with height h and a base with perimeter p what would be the formula for the lateral area?
LA = ph
What is the lateral area of a regular quadrangular prism that has a perimeter of 20 cm and a height of 6 cm?
Lateral Area=Perimeter of the base * height perimeter=20 height=6 so, Lateral Area=20 * 6 Lateral Area=120cm
How is the perimeter of the base related to the length of the lateral area rectangular?
The perimeter of the base of a rectangular prism directly influences the lateral area, as the lateral area is calculated by multiplying the perimeter of the base by the height of the prism. Specifically, the lateral area ( A_L ) is given by ( A_L = P \times h ), where ( P ) is the perimeter of the base and ( h ) is the height. Therefore, a larger perimeter results in a larger lateral area, assuming the height remains constant. Conversely, for a fixed lateral area, changes in the perimeter would necessitate adjustments in the height.
What is the formula for the lateral area of a right prism where p is the perimeter of the base and h is the height of the prism?
It is p*h square units.
Given a right prism with height h and a base with perimeter p what would be the formula for the lateral area?
LA = ph
What would be the formula for the lateral area of a right prism where p is the perimeter of the base and the height is equal to h?
LA=ph
What is the lateral area of a regular quadrangular prism that has a perimeter of 20 cm and a height of 6 cm?
Lateral Area=Perimeter of the base * height perimeter=20 height=6 so, Lateral Area=20 * 6 Lateral Area=120cm
What is the formula for the lateral area of a triangular prism?
Length of prism * perimeter of triangular face.
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 formula for finding the area of a quadrangular prism?
A = 2AB + AL AB = area of the base AL = lateral area = Perimeter X height
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.
How do you find the lateral area of a rectangular prism?
L=PH L=PH Lateral Area= (Perimeter of the base)(the height of the figure)
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 do you find the 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 rectangular solid with length 10 width 6 and height 4?
The formula for getting the Rectangular prism/solid is (Perimeter of the base)(Height)* Get the Perimeter of the rectangular prism first (2L + 2W) P = (2)(10) + (2)(6) = 20 + 12 = 22* Now lets solve for the Lateral Area LA = (22) (4)LA = 88
