## christinacoe72 3 years ago The height of an equilateral triangular prism increases by one unit. The new lateral area is more than the original by how much? the area of the base the height the perimeter of the base the area of one lateral face

1. amistre64

so how much new material is added?

2. amistre64

one unit is not the amount of new material; that is a distance

3. amistre64

how do we determine lateral area in the first place?

4. Mertsj

|dw:1334361408549:dw|

5. Mertsj

How much did the lateral increase?

6. amistre64

nice pic :)

7. christinacoe72

the lateral area?

8. amistre64

if we make that more general; LA = base perimeter * height if height is increase by 1 LA = B(h+1) --> LA = Bh + B

9. Directrix

the perimeter of the base ------------- LA = p*h where p is the perimeter of the base If h' = h + 1, then the lateral area of the taller prism is LA = p*(h+1) = ph + p. Comparing ph to ph + p shows that the lateral area of the taller prism is increased by the perimeter of the base.