Asolid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2. what is the volume of the pyramid? 12 cm3 16 cm3 24 cm3 32 cm3

The volume of an Oblique Pyramid can be calculated as:

Where,

B = Base Area = 12 cm²

h = Height of the pyramid = Edge Length = 4 cm

Using the values in the given formula we get:

Therefore, the volume of the oblique pyramid is 16cm³. Hence second option gives the correct answer.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240