## anonymous 4 years ago The height of an equilateral rectangular prism decreases by two units. The new lateral area is less than the original by how much? Answer two times the area of the base two times the perimeter of the base two less than the the area of the base two less than the perimeter of the base I think it is C but im not sure

1. anonymous

What's the formula for the area of the prism?

2. anonymous

mmm im not sure

3. anonymous

b*h

4. anonymous

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5. anonymous

That's a rectangular prism. The lateral surface area is the area of the 4 sides, not including the base and the top.

6. anonymous

so the formula for the lateral surface area is Perimeter of base X height

7. anonymous

Now, if the new height is decreased by two, so it is h-2 so the area is : P x (h-2)

8. anonymous

are you understanding so far?

9. anonymous

yessss

10. anonymous

$P \times ( h-2) = P \times h - P \times 2$

11. anonymous

so it would be D ?

12. anonymous

But, P x h is the area of the original prism! the above equation basically says: New Area = Old Area - P x 2

13. anonymous

No, P x 2 means Perimeter times 2

14. anonymous

b?

15. anonymous

yeah, it's B

16. anonymous

thank you once again : )

17. anonymous

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