Question

A city park has an architectural pillar in the shape of a triangular pyramid. The shape of the base of the pillar is an equilateral triangle. The dimensions of the shape of the pillar are as shown below.

A triangular pyramid is shown. The shape of the base of the pyramid is an equilateral triangle having sides of length 2 feet. The lateral height is labeled as 14 ft.

The park plans to repaint the lateral area of the pillar. The area of the pillar that will be repainted is _______________ ft2.

@ganeshie8 @phi @thomaster Could any of you guys help me please?

Answer 1

Please help guys. I really dn't understand it.

Answer 2

the lateral area of the pillar means the sides (in other words, in this case, everything except the bottom)

Answer 3

base of the pyramid is an equilateral triangle having sides of length 2 feet.

that means the base of each face is 2 feet

Answer 4

Ok, so now what?

Answer 5

DoI had the face of the base up?

Answer 6

The lateral height is labeled as 14 ft.

that is the height of each face (if you drew it laying flat)

Answer 7

you want to find the area of a triangle with a base of 2 and a height of 14
can you do that ?

Answer 8

Yea so then you just multply 14 x 2 right

Answer 9

area for a triangle is ½ * base * height
don't forget the 1/2

Answer 10

just multiply height and only one side length then u will get only one side area of pillar and u know it is triangle which consists on three sides so
2 into 14 = 28 square feet
so for the three sides it will be
28+28 +28 =84 is the area of pillar

Answer 11

So it's 14 or 84?

Answer 12

one triangle is ½ * 2 * 14
you have 3 triangles
(all the same shape)

Answer 13

Becuase I did 14 x 2 x 1/2 and that turned out to be 14, but the dude above said that the area of the thing is 84

Answer 14

So then would you just multiply 14 x 3?

Answer 15

because the equation gives you 14 and if there are 3 triangles, you'd have to add the 14's up together. Right?

Answer 16

the nice thing about math (if there is anything nice about it) is that you can check your reasoning.

You can look up in your notes that the area of a triangle is ½ base*height
so that is correct.

you can put in base=2 and height = 14 and get ½*2*14 = 14
that looks good

you can count up to 3: 1,2,3
3 triangles, each 14
14+14+14
or 3*14
either way, 42

Answer 17

ok thank you! 42 is the answer, though, correct?

Answer 18

sorry i forget 1/2 in formula of triangle
when u divide 84/2 =42
@phi u are good teacher

Answer 19

@brriiarr Good job u also