Question

Just one question please.

Answer 1

lateral area means the area of sides excluding bases

Answer 2

Yes, you're correct.

Answer 3

you may use the direct formula :
Lateral Area = \(\large \dfrac{\text{(Perimeter of base)x (Slant height)}}{2}\)

Answer 4

Okay, hold on.

Answer 5

you're given \(\text{Slant height}\) already (=12)
just find the \(\text{perimeter of base}\) and plugin

Answer 6

I got 48

Answer 7

Correct !
plug that in the formula

Answer 8

Sorry, what is the formula?

Answer 9

I used the lateral area formula to get 48.

Answer 10

\(\large \text{perimeter of base} = 8\times 6 = 48\)

Answer 11

Lateral Area = \(\large \dfrac{\text{(Perimeter of base)x (Slant height)}}{2} = \dfrac{(48)\times (12)}{2}\)

Answer 12

simplify

Answer 13

Okay.

Answer 14

288

Answer 15

\(\large \color{red}{\checkmark}\)

Answer 16

Thanks! Do you have time for another question?

Answer 17

I'll try, ask...

Answer 18

use the hint as starting step

Answer 19

So the perimeter of the base is 25 and the height is 24?

Answer 20

This is a different problem, We're given a hint in the problem... lets use it

Answer 21

Which is find the radius first.

Answer 22

use pythagorean theorem and find the radius \(r\)

Answer 23

This is the formula that I need to use?

A=πr(r+h2+r2)

Answer 24

kindof, but lets first try and find the radius \(r\)

Answer 25

Applying pythagorean theorem in that right triangle gives u :

\(\large r^2 + 24^2 = 25^2\)

Answer 26

solve \(\large r\)

Answer 27

7

Answer 28

Would it be 7 or -7?

Answer 29

radius is always positive so \(r = 7\)

Answer 30

Okay.

Answer 31

Next use below formula :
Surface Area = \(\large \pi r^2 + \pi r l\)

Answer 32

\(r = 7 \\ l = 25\)

Answer 33

plug them in the formula and evaluate

Answer 34

224 (pi)

Answer 35

Wow! Thank you man. I really appreciate it.

Answer 36

yw