Measurement

I'm just looking at TK's response. We want to know how many pounds are needed to fill the ramp. I would think we need to figure out the dimensions of the ramp.- l*h*w. Then try converting 3600/1 yd^3
 
Psychguy98 said:
Paul is constructing a concrete ramp adjacent to an existing step. The height of the ramp is 10 inches, the length is 35 inches, and the width is 20 inches. The pre-mix concrete comes in forty pound bags, and 3600 is needed for one cubic yard of volume. Based on the given information, approximately how many pounds of pre-mix are needed to fill the ramp? Thank you.
Well, to save everybody's time, here's solution:

1 cu.in. = 1 / 36*36*36 = .00002143347... cu.yd
10*20*35 = 7000 cu.in. = 7000 * .00002143347 = .150034293... cu.yd.

For 1 cu.yd., hard to tell if 3,600 pounds is needed, or the ridiculous 40*3600 = 144,000 pounds.
If 3600: 3600 * .150034293 = 540 (rounded)
if 144000: 144000 * .150034293 = 21605 (rounded)

Really, I don't get the feeling I've helped you...
 
Psychguy98 said:
a. 608
b. 875
c. 1,167
d. 270
e. 280
Very cute...so?
Notice d. has 270, half of what I showed assuming 3600 pounds.
So (if that's the answer) the weight is 1800 instead of 3600;
that then means 45 40-pound bags: 45 * 40 = 1800.
That's a far cry from 3600 40-pound bags...you sure you worded problem correctly?
 
Denis said:
Psychguy98 said:
Paul is constructing a concrete ramp adjacent to an existing step. The height of the ramp is 10 inches, the length is 35 inches, and the width is 20 inches. The pre-mix concrete comes in forty pound bags, and 3600 is needed for one cubic yard of volume. Based on the given information, approximately how many pounds of pre-mix are needed to fill the ramp? Thank you.
Well, to save everybody's time, here's solution:

1 cu.in. = 1 / (36*36*36) = .00002143347... cu.yd
10*20*35 = 7000 cu.in. = 7000 * .00002143347 = .150034293... cu.yd.

...

To the corner .... to the corner .... right now...
 
Denis said:
Psychguy98 said:
a. 608
b. 875
c. 1,167
d. 270
e. 280
Very cute...so?
Notice d. has 270, half of what I showed assuming 3600 pounds.
So (if that's the answer) the weight is 1800 instead of 3600;
that then means 45 40-pound bags: 45 * 40 = 1800.
That's a far cry from 3600 40-pound bags...you sure you worded problem correctly?

Another thought could be that the ramp is sloped as tk was indicating - height from 0 to 10" (linearly).
 
Subhotosh Khan said:
Another thought could be that the ramp is sloped as tk was indicating - height from 0 to 10" (linearly).
NO! That's height from 10" to 0: easier to walk "down" !!

Btw, concrete weighs some 143 pounds per cu.ft.
 
I think in all of this discussion about conversions, the fact that this ramp is a prism with a triangular base has been overlooked.

For any prism,

Volume = height * area of base

In this case, the base is a triangle, so there will be a factor of (1/2) involved in finding the area of the base.

That should give you the answer choice that is exactly HALF of what you showed, Dennis.
 
Mrspi said:
I think in all of this discussion about conversions, the fact that this ramp is a prism with a triangular base has been overlooked.

Deniss overlooked it - but he is sitting in the corner for missing grouping symbols anyway. tk indicated it in his post - but the original post did not clearly state that.

Sometimes ramps are built up with compacted gravel and then concrete slab is poured over it (rectangular cross-section). Ramp with triangular cross-section will be very weak - it should be trapezoidal.
 
According to the original problem statement, cross sections could be in the shape of a gold fish.
 
Pythagorean theorem is tricky... i use the calculator on the site and do my calculation..

[spamming url edited out - SK]
 
Johnnyq said:
Pythagorean theorem is tricky

How is that?

You're not setting yourself up to start SPAMMING on these boards, are you Johnnyq?

We're watching you.

 
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