Question

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2

2
, find the surface area of rectangular pyramid A, the preimage.

Answer 1

The surface area of rectangular pyramid A is 1.117 cm^2.

Step-by-step explanation:

To find the surface area of rectangular pyramid A, we can use the relationship between scale factor and surface area. Since pyramid B is the image of pyramid A after dilation by a scale factor of 33, the surface area of pyramid B is 33^2 = 1089 times the surface area of pyramid A. If the surface area of pyramid B is 1215 cm^2, then the surface area of pyramid A is 1215/1089 = 1.117 cm^2 (rounded to three decimal places).