The triangular based pyramid ABCD is shown. The base ABC is right angled triangle and the pyramid has a volume of 72cm3. D is directly above A. AB=AC. AD= 2 * AB. The length AB is labelled X. Calculate x

AB = AC = 6 cm

AD = 6*2 = 12 cm

Step-by-step explanation:

Solution:-

- A small sketch of a right angle triangular base pyramid could help use visualize the right angle triangle base ( A B C )

Where Length,

                     AB = AC = x

                     AD = 2*AB = 2x

Where, The point D directly above A.

- The volum ( V ) of a pyramid is given by:

                    V = [ Base Area * h ] / 3

- Where,    Base Area : The area of triangle ABC

                 h : The total height of the pyramid, AD

- The base area of the triangular base  ( A B C ) is given by:

                   Base area  = 0.5*AB*AC

                                      = 0.5*x*x

                                      = 0.5x^2

- The height of the pyramid, AD = 2*AB = 2*x

- Compute the value of x, for the given volume V = 72 cm^3:

                    3*V = 0.5x^2* 2x

                    3*72 = x^3

                    216 = x^3

                    x = 6 cm

how long did the flood last

step-by-step explanation:

then i will answer

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: