Question

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

Answer 1

lateral area of triangular prism is 3 x base x height

if height will be increased by 1 then you have 3b(h+1) agree?

Answer 2

so it would be the height

Answer 3

distribute 3b into h+1 what do you get?

Answer 4

honestly idk

Answer 5

distributive property... \[3b(h+1) = (3b \times h) + (3b \times 1)\] what do you get then?/

Answer 6

3bh there arent any number to plug in

Answer 7

what does 3 base signify?

Answer 8

3 x base edge...it was the formule i told her a while ago because it was how she phrased it...i just wanted to be consistent lol

Answer 9

lateral area is the sum of the side area; each side has an area of: \(s_n*h\)

ah, base edge .... got it

Answer 10

@cutie_pie_1213 just 3bh? what about + (3b x 1)?

Answer 11

ohh okay i thought that part was timesing it by one which u get the same thing

Answer 12

if we phrase it similar to the choices we get:

perimeter * height

therefore

perimeter(height + 1)

Answer 13

so what's 3b x 1?

Answer 14

3b

Answer 15

so 3b(h+1) = 3bh = 3b

3bh is LSA (i said this before)...what do you think is 3b?