Question

A 3-D replica of the Great Pyramid of Giza was built at a 10 meter : 1 inch scale. If the volume of a pyramid can be calculated with the formula v= 1/3 length width height, what is the volume of the replica pyramid? scale is 10m/1in

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

l = w = 230.4m

h = 146.5 m

scale

10 m : 1 inch

Step 02:

real

v = (l * w * h) / 3

`v\text{ = }(230.4\cdot230.4\cdot146.5)/(3)=2592276.48m^(3)`

replica

10 m ------------ 1 inch

230.4 m ------------ x

x * 10 = 230.4 * 1

x = 230.4 / 10 = 23.04

l = w = 23.04 in

h = 146.5 / 10 = 14.65 in

v replica :

`v\text{ replica = }(23.04\cdot23.04\cdot14.65)/(3)=\text{ }2592.276in^3`

The answer is:

The volume of the replica is 2592.28 in³