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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 finding the perimeter of a triangle when given the base and the height?
You multiply the base and the height and then you divide the answers of that by 2. :)
What is the slant height of a roofin the shape of a square pyramid having a lateral area of 836 square feet and a base side length of 22 feet?
To find the slant height of a square pyramid, we can use the formula for the lateral area, which is given by ( \text{Lateral Area} = \frac{1}{2} \times \text{Perimeter of base} \times \text{Slant height} ). The perimeter of the base for a square pyramid with a side length of 22 feet is ( 4 \times 22 = 88 ) feet. Setting the lateral area to 836 square feet gives us the equation: ( 836 = \frac{1}{2} \times 88 \times \text{slant height} ). Solving for the slant height yields ( \text{slant height} = \frac{836 \times 2}{88} = 19 ) feet.
What formula would be used to find the lateral area of a right cone where are is the radius and s is the slant height?
The formula to find the lateral area ( A ) of a right cone is given by ( A = \pi r s ), where ( r ) is the radius of the base of the cone and ( s ) is the slant height. This formula calculates the surface area of the cone's curved surface, excluding the base.
If a perimeter of rectangle is 38 and the base is 7 what is the height?
To find the height of the rectangle, we can use the formula for the perimeter ( P ) of a rectangle, which is ( P = 2 \times (\text{base} + \text{height}) ). Given that the perimeter is 38 and the base is 7, we can set up the equation: ( 38 = 2 \times (7 + \text{height}) ). Simplifying gives ( 19 = 7 + \text{height} ), leading to ( \text{height} = 12 ). Thus, the height of the rectangle is 12.
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 finding the perimeter of a triangle when given the base and the height?
You multiply the base and the height and then you divide the answers of that by 2. :)
How do you find the lateral area of a scalene triangle without the height?
only solids have "lateral area". triangles have "area". the area of a scalene triangle is given by heron's formula. height not needed.
How do you find the height of a rectangle with the base and perimeter given?
Height = (Perimeter/2) - Base
Given a right cone with radius r and slant height s what does the formula rs represent?
The lateral area... Apex :)
What is the slant height of a roofin the shape of a square pyramid having a lateral area of 836 square feet and a base side length of 22 feet?
To find the slant height of a square pyramid, we can use the formula for the lateral area, which is given by ( \text{Lateral Area} = \frac{1}{2} \times \text{Perimeter of base} \times \text{Slant height} ). The perimeter of the base for a square pyramid with a side length of 22 feet is ( 4 \times 22 = 88 ) feet. Setting the lateral area to 836 square feet gives us the equation: ( 836 = \frac{1}{2} \times 88 \times \text{slant height} ). Solving for the slant height yields ( \text{slant height} = \frac{836 \times 2}{88} = 19 ) feet.
What formula would be used to find the lateral area of a right cone where are is the radius and s is the slant height?
The formula to find the lateral area ( A ) of a right cone is given by ( A = \pi r s ), where ( r ) is the radius of the base of the cone and ( s ) is the slant height. This formula calculates the surface area of the cone's curved surface, excluding the base.
If a perimeter of rectangle is 38 and the base is 7 what is the height?
To find the height of the rectangle, we can use the formula for the perimeter ( P ) of a rectangle, which is ( P = 2 \times (\text{base} + \text{height}) ). Given that the perimeter is 38 and the base is 7, we can set up the equation: ( 38 = 2 \times (7 + \text{height}) ). Simplifying gives ( 19 = 7 + \text{height} ), leading to ( \text{height} = 12 ). Thus, the height of the rectangle is 12.
Which of the formulas would find the Lateral Area of a right cone where are is the radius and s is the slant height?
The formula to find the lateral area of a right cone is given by ( LA = \pi r s ), where ( r ) is the radius of the base and ( s ) is the slant height. This formula calculates the curved surface area of the cone, excluding the base. To use it, simply multiply the radius by the slant height and then by (\pi).
Formula of a rectangle?
There is no formula for a rectangle. There are formula for calculating its area, perimeter or length of diagonals from its sides, or it is possible to calculate the length of one pair of sides given the other sides and the area or perimeter, or the two lots of sides given area and perimeter and so on.
How do you find the area of the right angle triangle given the base hypotenuse and perimeter?
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
How do you get the dimensions of rectangular lot given the perimeter and area?
By halving its perimeter and using the quadratic equation formula.
