Another maths puzzle

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OP
OP
Speicher

Speicher

Vice Admiral
Moderator
Before you dig it out it's about 1.8t per cubic metre. Some more sums are needed.

There were some stones in it, some saw dust, and some weeds, is that enough somes?
 

KneesUp

Guru
Strangly enough, no I have not considered that. The pieces were all different sizes, so I am not sure how that help. :unsure:
You asked "how much surf/topsoil in total did I carry up the steps?" - you didn't specify units. If you counted them you would have an answer in 'sods'

Are you after an estimate of weight or volume?
 

PK99

Legendary Member
Location
SW19
I would like to make the flower borders in my garden narrower than they are now. The lady who lives opposite me has employed a landscape gardener to dig up her garden, and put in a large patio. She very kindly agreed to let me have the top soil and turf from her garden. Are you with me so far?

The gardener's wheelbarrow is very large, with a bucket say about 30" long, 15" deep and 20" wide. He tipped about twelve barrows' full of soil/turf on the end of my garden. The turf and topsoil are needed in the back garden, and there are twelve steps all approximately 8" high.

Using two fairly equally loaded buckets, how much surf/topsoil in total did I carry up the steps? :scratch:Unfortunately I did not count the number of times I walked up the steps carrying topsoil.

In the official terminology of the landscaping trade, you shifted one sore back's worth.


Or, to a first order approximation, from your estimate, the volume of the barrow was about 0.14m3

Taking a mid range soil density of 1500kg per m3.

You carried 12 * 0.14 * 1500 = approx 2500 kg.

Or 2.5 metric tonnes = approx 2.5 ton.
 
OP
OP
Speicher

Speicher

Vice Admiral
Moderator
In the official terminology of the landscaping trade, you shifted one sore back's worth.


Or, to a first order approximation, from your estimate, the volume of the barrow was about 0.14m3

Taking a mid range soil density of 1500kg per m3.

You carried 12 * 0.14 * 1500 = approx 2500 kg.

Or 2.5 metric tonnes = approx 2.5 ton.

Blinking heck, I knew it was heavy. :ohmy:

If I made a mistook in the number of barrow loads, by a factor of 25%, and it was only nine barrow loads, that is still nearly two tons. @Moon bunny was correct.



And are we working in the SI units of 18 barrels-loads to one shed-load, or do you work in Empire measures?

I have not got a shed.
 
OP
OP
Speicher

Speicher

Vice Admiral
Moderator
I may have left approximately one quarter, by volume at the bottom of the steps. I could feel my back starting to complain, and my right knee was starting to feel the strain as well. Not both knees, just the one.

I also scattered about one tenth, by volume, in some bare patches on the front garden.
 
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