Question

Geometry help anyone? Thank you so much. :)
What is the lateral area of a triangular prism with base edges all equaling 2 millimeters and a height of 7 millimeters?
A. 7 mm²
B. 14 mm²
C. 28 mm²
D. 42 mm²

I just don't seem to understand this lesson, I'm usually pretty okay at Geometry, this lesson has just been throwing me off guard.
I assume I would use the Lateral Area formula?

Answer 1

If it helps anyone, the formula I have for Lateral Area is
LA= PH
and that is specifically for prisms.

Answer 2

The P being perimeter and the H being height.

Answer 3

how many edges does a triangular prism have?

Answer 4

well, a rectangular prism has 2 bases, so it would have 3 base edges then, correct?

Answer 5

3 base edges on each side, that makes 6 base edges in total and plus 3 edges on the sides. So 9 right?

Answer 6

@bahrom7893 I do believe that is correct, although I have someone else telling me that the answer is C. 28.

Although, at this point, i'm just confused- so if you could tell me what you think of that, i'd be grateful.

Answer 7

The surface area of a prism = 2 × area of base + perimeter of base × H

Answer 8

Area of base:
p=(2+2+2)/2=3
A=sqrt(p(p-a)(p-b)(p-c))=sqrt(3*1*1*1)=sqrt(3)

Answer 9

hmm I'm lost. @amistre64 can you take a look at this. That sqrt(3) is bothering me

Answer 10

lateral area is just the area of the sides without the bases

Answer 11

OHHHH NO WONDER!!!

Answer 12

3(2*7)