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Surface Area- Amount

 
 
Reply Fri 21 Mar, 2014 06:20 pm
A wall is to be coated with stucco.

Dimensions:
Length- 24'
Width- 12'
Height- 10'
Thickness- .5'

Calculate square feet of stucco for the outside, inside, and top of wall.

What is known:

Dimensions of wall.

Want to know:

Amount of stucco needed.


24 + 24 + 12 + 12 + 10 + 10 + .5 = 92.5

I don't think that is the correct answer.


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Type: Question • Score: 0 • Views: 786 • Replies: 10
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Ragman
 
  1  
Reply Sat 22 Mar, 2014 08:45 am
@Randy Dandy,
I might be off-base but why not apply the formula for volume? This is not a simple square footage computation.

Also how come you have only added in the height of 2 ten-foot walls. Aren't there 4 walls with height? Unless those 2 walls are floor-to-ceiling windows or sliding glass doors?
Randy Dandy
 
  1  
Reply Sat 22 Mar, 2014 02:29 pm
@Ragman,
Ragman,

24x2= 48
12x2= 24
10x4= 40
.5x4= 2

Total- 114

I think that is incorrect also.
0 Replies
 
PUNKEY
 
  1  
Reply Sat 22 Mar, 2014 02:38 pm
A = l x h
since you are covering the surface of all dimensions, simply multipy the h x l of all surfaces and add them together.

I am not understanding why you have a w, l, AND a h.

Randy Dandy
 
  1  
Reply Sat 22 Mar, 2014 03:15 pm
@PUNKEY,
PUNKEY,

24*12*10 *.5= 1440

If that is incorrect, I have no idea.



0 Replies
 
raprap
 
  1  
Reply Sat 22 Mar, 2014 09:54 pm
@Randy Dandy,
Draw a picture of
Two cuboids--one inside the other

Cuboid #1
Length- 24'=l1
Width- 12'=w1
Height- 10'=h1
Volume of this cube is
V1= l1*w1*h1

Cuboid #2
stucco wall thickness=s1=0.5' (is this one half an inch or one half a foot?)
Length+2 stucco thickness=l1+2*s1=l2
Width-w1+2*s1=w2
Height- (just the top--no bottom)=h1+s1=h2
Volume of this cube is
V2=l2*w2*h2

The second cuboid has a greater volume. The difference in the volume of the second cuboid and the smaller cuboid is made up by the stucco.

Volume of stucco is given by V2-V1

Rap
Randy Dandy
 
  1  
Reply Sat 22 Mar, 2014 11:43 pm
@raprap,
raprap,

The .5 is half a foot.

Thanks.
0 Replies
 
PUNKEY
 
  1  
Reply Mon 24 Mar, 2014 09:02 am
to find area: length x width x depth for one side:
24' x 12' x .5 = 20,736 sq ft. surface.

for other side: l x w

Add together.

Randy Dandy
 
  1  
Reply Mon 24 Mar, 2014 10:23 am
@PUNKEY,
PUNKEY,

24*12 *10 *.5 = 1440

24*12 = 288

1440 + 288 = 1728

??

I don't understand it.
0 Replies
 
raprap
 
  1  
Reply Mon 24 Mar, 2014 02:36 pm
@raprap,
I get 695 ft^3

Rap
0 Replies
 
PUNKEY
 
  1  
Reply Mon 24 Mar, 2014 03:51 pm
If you had to apply carpet over this wall and its back, the AREA would be calculated.

0 Replies
 
 

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