For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut i

Question

zalisa [80]

3 years ago

15

For a rectangular prism, if the base length was shrunk by a factor of two-thirds, the width was quadrupled, and height was cut i

n half, how would the changes affect the surface area formula?

Mathematics

1 answer:

Nastasia [14] · Answer 1 · 2022-10-03T09:29:18+03:00

Nastasia [14]3 years ago

4 0

The surface area of a rectangular prism is this:
SA = LW + LH + LH

Here are the changes:
L --> (2/3)L
W --> 4W
H --> H/2

So, the new surface area is:
SA' = (2/3)L (4W) + (2/3)L (H/2) + 4W (H/2)
SA' = (8/3) LW + (1/3) LH + 2 WH