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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.
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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 lateral area of a pyramid?
1/2 times the perimeter of the base times slant height
How do you find the lateral area of a triangular pyramid with the perimeter and slant height?
LA=1/2ps
How do you find the lateral area of a shoebox?
it's the same as a rectangle. LA= Ph (Perimeter x's Height)
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.
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 lateral area of a pyramid?
1/2 times the perimeter of the base times slant height
How do you find the lateral area of a triangular pyramid with the perimeter and slant height?
LA=1/2ps
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 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.
How do you find the lateral area of a shoebox?
it's the same as a rectangle. LA= Ph (Perimeter x's Height)
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.
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 h is the height of the prism?
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
