The lateral surface area of a regular pyramid is 160 cm2 and the perimeter of the base is 40 cm. What is the slant height?
a.) 4cm
b.) 8cm
c.) 10cm
To find the slant height of a regular pyramid, we can use the formula:
Lateral Surface Area = (1/2) * Perimeter of Base * Slant Height
Given that the lateral surface area is 160 cm² and the perimeter of the base is 40 cm, we can substitute these values into the formula:
160 = (1/2) * 40 * Slant Height
Simplifying the equation:
160 = 20 * Slant Height
Dividing both sides of the equation by 20:
8 = Slant Height
Therefore, the slant height of the regular pyramid is 8 cm.
So, the answer is b.) 8cm.
To calculate the slant height of a regular pyramid, we need to use the formula:
Lateral Surface Area = (1/2) * Perimeter of Base * Slant Height
In this case, we are given that the lateral surface area is 160 cm^2 and the perimeter of the base is 40 cm. We can substitute these values into the formula and solve for the slant height.
160 = (1/2) * 40 * Slant Height
To isolate the slant height, we can divide both sides of the equation by (1/2) * 40:
160 / [(1/2) * 40] = Slant Height
Simplifying the expression:
160 / 20 = Slant Height
Slant Height = 8 cm
Therefore, the correct answer is b.) 8cm.
thanks :)
The lateral surface of a regular (right) pyramid is
A = (1/2) perimeter * slant height
Given A=160, and perimeter = 40,
try to figure out the slant height.