MCP๋กœ ์—ฐ๊ฒฐ โ†’

๊ณ„์‚ฐ ์ž…๋ ฅ

๊ณต์‹

๊ณต์‹: ๋ฉ€์นญ ๊ณ„ํš ๊ณ„์‚ฐ๊ธฐ
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  1. Bags, weight and cost

    Bags, weight and cost: ๋ฉ€์นญ ๊ณ„ํš ๊ณ„์‚ฐ๊ธฐ

    Bags round up; weight uses bulk density per cubic yard; cost multiplies units by unit price.

๊ด‘๊ณ 

๊ฒฐ๊ณผ

ํ•„์š”ํ•œ ๋ด‰ํˆฌ ์ˆ˜
14
bags (13.75 exact)
ํ•„์š”ํ•œ ๋ฉ€์นญ๋Ÿ‰ (์ž…๋ฐฉํ”ผํŠธ) 27.5 ft3
ํ•„์š”ํ•œ ๋ฉ€์นญ๋Ÿ‰ (์ž…๋ฐฉ์•ผ๋“œ) 1.02 yd3
๋ฒŒํฌ ์ฃผ๋ฌธ๋Ÿ‰ (์ž…๋ฐฉ์•ผ๋“œ, 0.5 ๋‹จ์œ„) 1.5 yd3
์˜ˆ์ƒ ๋ฌด๊ฒŒ 611.11 lb
์˜ˆ์ƒ ๋ฌด๊ฒŒ (ํ†ค) 0.31 tons
์ด๋น„์šฉ (๋ด‰ํˆฌ ๊ตฌ๋งค) 0.00
์ด๋น„์šฉ (๋ฒŒํฌ, ์ฃผ๋ฌธ๋Ÿ‰ ์˜ฌ๋ฆผ ๊ธฐ์ค€) 0.00
์ž…๋ฐฉํ”ผํŠธ๋‹น ๋ด‰ํˆฌ ๋น„์šฉ 0.00/ft3
์ž…๋ฐฉ์•ผ๋“œ๋‹น ๋ด‰ํˆฌ ์ˆ˜ 13.5

์ด ๋ฉ€์นญ ๊ณ„์‚ฐ๊ธฐ๋กœ ํ•  ์ˆ˜ ์žˆ๋Š” ์ผ

์ด ๋„๊ตฌ๋Š” ๋ฉ€์นญ(ํ”ผ๋ณต์žฌ ๊น”๊ธฐ) ์ž‘์—…์˜ ์ „์ฒด ๊ณ„ํš์„ ํ•œ ๋ฒˆ์— ์„ธ์›Œ ์ค๋‹ˆ๋‹ค. ํ™”๋‹จ ๋ฉด์ ๊ณผ ์›ํ•˜๋Š” ๋ฉ€์นญ ๋‘๊ป˜๋งŒ ์ž…๋ ฅํ•˜๋ฉด ๋ถ€ํ”ผ๋ฅผ ์ž…๋ฐฉํ”ผํŠธ(cu ft)์™€ ์ž…๋ฐฉ์•ผ๋“œ(cu yd)๋กœ ํ™˜์‚ฐํ•ด ์ฃผ๊ณ , ์‚ฌ์•ผ ํ•  ๋ด‰ํˆฌ ์ˆ˜, ๋ฒŒํฌ๋กœ ์ฃผ๋ฌธํ•  ์ž…๋ฐฉ์•ผ๋“œ, ์˜ˆ์ƒ ๋ฌด๊ฒŒ, ๊ทธ๋ฆฌ๊ณ  ๋ด‰ํˆฌ ๊ตฌ๋งค์™€ ๋ฒŒํฌ ๊ตฌ๋งค ๋‘ ๊ฐ€์ง€ ๋ฐฉ์‹์˜ ์ด๋น„์šฉ๊นŒ์ง€ ๊ณ„์‚ฐํ•ฉ๋‹ˆ๋‹ค. ๋‹จ์œ„๋Š” ๋ฏธ๊ตญ์‹(์ œ๊ณฑํ”ผํŠธ, ์ธ์น˜, ์ž…๋ฐฉํ”ผํŠธ, ์ž…๋ฐฉ์•ผ๋“œ, ํŒŒ์šด๋“œ)์„ ๊ธฐ๋ณธ์œผ๋กœ ํ•˜์ง€๋งŒ, ๊ณ„์‚ฐ ์›๋ฆฌ๋Š” ์–ด๋””์„œ๋‚˜ ๋˜‘๊ฐ™์œผ๋ฉฐ ๋ฏธํ„ฐ๋ฒ• ์ž…๋ ฅ ์˜ต์…˜๋„ ํ•จ๊ป˜ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค.

์‚ฌ์šฉ ๋ฐฉ๋ฒ•

๋จผ์ € ํ™”๋‹จ ๋ฉด์ ๊ณผ ๊ทธ ๋‹จ์œ„(์ œ๊ณฑํ”ผํŠธ, ์ œ๊ณฑ์•ผ๋“œ, ์ œ๊ณฑ๋ฏธํ„ฐ)๋ฅผ ์„ ํƒํ•˜์„ธ์š”. ์ด์–ด์„œ ๋ฉ€์นญ ๋‘๊ป˜์™€ ๋‹จ์œ„(์ธ์น˜, ํ”ผํŠธ, ์„ผํ‹ฐ๋ฏธํ„ฐ)๋ฅผ ์„ค์ •ํ•ฉ๋‹ˆ๋‹ค. ์ƒˆ๋กœ ๊นŒ๋Š” ์ž‘์—…์ด๋ผ๋ฉด ์ž์—ฐ ๋‹ค์ง(๊ฐ€๋ผ์•‰์Œ)์„ ๊ณ ๋ คํ•ด 10% ์—ฌ์œ ๋ถ„์„ ๊ทธ๋Œ€๋กœ ๋‘๊ณ , ๋งค๋…„ ๋ณด์ถฉํ•˜๋Š” ์ž‘์—…์ด๋ผ๋ฉด '์—†์Œ'์„ ์„ ํƒํ•˜์„ธ์š”. ๋ด‰ํˆฌ ์šฉ๋Ÿ‰(2.0 ๋˜๋Š” 3.0 ์ž…๋ฐฉํ”ผํŠธ๊ฐ€ ์ผ๋ฐ˜์ )์„ ๊ณ ๋ฅธ ๋’ค, ์›ํ•œ๋‹ค๋ฉด ๋ด‰ํˆฌ๋‹น ๊ฐ€๊ฒฉ, ์ž…๋ฐฉ์•ผ๋“œ๋‹น ๋ฒŒํฌ ๊ฐ€๊ฒฉ, ๋ฉ€์นญ ๋ฐ€๋„๊นŒ์ง€ ์ž…๋ ฅํ•˜๋ฉด ๋น„์šฉ ๋น„๊ต์™€ ๋ฌด๊ฒŒ ์ถ”์ •์ด ๊ฐ€๋Šฅํ•ฉ๋‹ˆ๋‹ค.

๊ณ„์‚ฐ ๊ณต์‹ ํ’€์ด

๋จผ์ € ๋ชจ๋“  ๊ฐ’์„ ํ‘œ์ค€ํ™”ํ•ฉ๋‹ˆ๋‹ค. ๋ฉด์ ์€ ์ œ๊ณฑํ”ผํŠธ๋กœ, ๋‘๊ป˜๋Š” ํ”ผํŠธ๋กœ ๋ฐ”๊ฟ‰๋‹ˆ๋‹ค(์ธ์น˜๋Š” 12๋กœ ๋‚˜๋ˆ”). ์ž…๋ฐฉํ”ผํŠธ ๋ถ€ํ”ผ๋Š” ๋ฉด์  ร— ๋‘๊ป˜ ร— ๋‹ค์ง ๊ณ„์ˆ˜์ž…๋‹ˆ๋‹ค.

$$\text{Volume (ft}^3\text{)} = \text{Area (ft}^2\text{)} \times \text{Depth (ft)} \times \text{Settling}$$

์ž…๋ฐฉ์•ผ๋“œ๋Š” ์ด ๊ฐ’์„ 27๋กœ ๋‚˜๋ˆˆ ๊ฒƒ์ธ๋ฐ, 1์ž…๋ฐฉ์•ผ๋“œ = 3ร—3ร—3 = 27์ž…๋ฐฉํ”ผํŠธ์ด๊ธฐ ๋•Œ๋ฌธ์ž…๋‹ˆ๋‹ค.

$$V_{yd^3} = \frac{V_{ft^3}}{27}, \quad 1\ \text{yd}^3 = 3 \times 3 \times 3 = 27\ \text{ft}^3$$

ํ•„์š”ํ•œ ๋ด‰ํˆฌ ์ˆ˜๋Š” ๋ถ€ํ”ผ๋ฅผ ๋ด‰ํˆฌ ์šฉ๋Ÿ‰์œผ๋กœ ๋‚˜๋ˆˆ ๋’ค ์˜ฌ๋ฆผ ์ฒ˜๋ฆฌํ•ฉ๋‹ˆ๋‹ค. ๋ด‰ํˆฌ๋ฅผ ์ผ๋ถ€๋งŒ ์‚ด ์ˆ˜๋Š” ์—†์œผ๋‹ˆ๊นŒ์š”.

$$\text{bags} = \lceil V_{ft^3} / b \rceil$$

๋ฌด๊ฒŒ๋Š” ์ž…๋ฐฉ์•ผ๋“œ ร— ๋ฐ€๋„๋กœ ๊ตฌํ•ฉ๋‹ˆ๋‹ค.

$$W = V_{yd^3} \times \rho$$

๋ฒŒํฌ ์ฃผ๋ฌธ๋Ÿ‰์€ 0.5์•ผ๋“œ ๋‹จ์œ„๋กœ ํŒ๋งคํ•˜๋Š” ๊ณต๊ธ‰์—…์ฒด๊ฐ€ ๋งŽ๊ธฐ ๋•Œ๋ฌธ์— ๊ฐ€์žฅ ๊ฐ€๊นŒ์šด 0.5์•ผ๋“œ๋กœ ์˜ฌ๋ฆผํ•ฉ๋‹ˆ๋‹ค.

๊ธธ์ด, ๋„ˆ๋น„, ๊นŠ์ด ์น˜์ˆ˜๊ฐ€ ์žˆ๋Š” ์ง์‚ฌ๊ฐํ˜• ๋ฉ€์น˜ ํ™”๋‹จ
๋ถ€ํ”ผ๋Š” ํ™”๋‹จ ๋ฉด์ ์— ๋ฉ€์น˜ ๊นŠ์ด๋ฅผ ๊ณฑํ•œ ๊ฐ’์œผ๋กœ, ์ž…๋ฐฉํ”ผํŠธ๋กœ ํ™˜์‚ฐํ•ฉ๋‹ˆ๋‹ค.

๊ณ„์‚ฐ ์˜ˆ์‹œ

๋ฉด์  200 ftยฒ, ๋‘๊ป˜ 3์ธ์น˜, ์‹ ๊ทœ ์„ค์น˜(ร—1.10), 2.0 ์ž…๋ฐฉํ”ผํŠธ ๋ด‰ํˆฌ ๊ฐœ๋‹น $4.50, ๋ฒŒํฌ $35/ydยณ, ๋ฐ€๋„ 600 lb/ydยณ์ธ ๊ฒฝ์šฐ: ๋‘๊ป˜ = 0.25 ft, ๊ธฐ๋ณธ ๋ถ€ํ”ผ = 50 ftยณ, ๋‹ค์ง ๋ฐ˜์˜ = 55 ftยณ = 2.04 ydยณ. ๋ด‰ํˆฌ = ์˜ฌ๋ฆผ(55/2.0) = 28๋ด‰ํˆฌ = $126.00. ๋ฒŒํฌ ์˜ฌ๋ฆผ = 2.5 ydยณ = $87.50. ๋ฌด๊ฒŒ = 2.04 ร— 600 = ์•ฝ 1,222 lb(0.61ํ†ค). ์ด ๊ฒฝ์šฐ์—๋Š” ๋ฒŒํฌ ๊ตฌ๋งค๊ฐ€ ๋” ์ €๋ ดํ•ฉ๋‹ˆ๋‹ค.

$$\text{Depth} = \frac{3}{12} = 0.25\ \text{ft}$$

$$V_{ft^3} = 200 \times 0.25 = 50\ \text{ft}^3$$

$$V_{ft^3} = 50 \times 1.10 = 55\ \text{ft}^3 = 2.04\ \text{yd}^3$$

$$\text{bags} = \lceil 55 / 2.0 \rceil = 28 \to 28 \times \$4.50 = \$126.00$$

$$2.5\ \text{yd}^3 \times \$35 = \$87.50$$

$$W = 2.04 \times 600 \approx 1{,}222\ \text{lb}\ (0.61\ \text{ton})$$

์ž…๋ฐฉ์•ผ๋“œ์—์„œ ๋ด‰์ง€ ์ˆ˜์™€ ๋Œ€๋Ÿ‰ ๋ฉ€์น˜๋กœ ๋ณ€ํ™˜
๊ฐ™์€ ๋ถ€ํ”ผ๋ฅผ ๋ด‰์ง€ ๋‹จ์œ„ ๋˜๋Š” ๋Œ€๋Ÿ‰ ์ž…๋ฐฉ์•ผ๋“œ ๋‹จ์œ„๋กœ ๊ตฌ์ž…ํ•  ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

์ž์ฃผ ๋ฌป๋Š” ์งˆ๋ฌธ

๋ฉ€์นญ์€ ์–ผ๋งˆ๋‚˜ ๋‘๊ป๊ฒŒ ๊น”์•„์•ผ ํ•˜๋‚˜์š”? ๋Œ€๋ถ€๋ถ„์˜ ์‹๋ฌผ ํ™”๋‹จ์€ 2~3์ธ์น˜, ๋‚˜๋ฌดยท๊ด€๋ชฉ๊ณผ ์ƒˆ๋กœ ๋งŒ๋“  ํ™”๋‹จ์€ 3~4์ธ์น˜, ๋†€์ดํ„ฐ ์ถฉ๊ฒฉ ์™„ํ™” ๊ตฌ์—ญ์€ 6~12์ธ์น˜๊ฐ€ ์ ๋‹นํ•ฉ๋‹ˆ๋‹ค.

1์ž…๋ฐฉ์•ผ๋“œ์—๋Š” ๋ด‰ํˆฌ ๋ช‡ ๊ฐœ๊ฐ€ ๋“ค์–ด๊ฐ€๋‚˜์š”? \(27 \div b\)๋กœ ๊ณ„์‚ฐํ•ฉ๋‹ˆ๋‹ค. 2.0 ์ž…๋ฐฉํ”ผํŠธ ๋ด‰ํˆฌ๋Š” 13.5๊ฐœ, 3.0 ์ž…๋ฐฉํ”ผํŠธ ๋ด‰ํˆฌ๋Š” 9๊ฐœ์ž…๋‹ˆ๋‹ค.

๋ฌด๊ฒŒ๊ฐ€ ์™œ ๋‹ฌ๋ผ์ง€๋‚˜์š”? ๋ฒŒํฌ ๋ฐ€๋„๋Š” ๋ฉ€์นญ ์ข…๋ฅ˜์™€ ์ˆ˜๋ถ„ ํ•จ๋Ÿ‰์— ๋”ฐ๋ผ ํฌ๊ฒŒ ๋‹ฌ๋ผ์ง‘๋‹ˆ๋‹ค(๋Œ€๋žต 400~900 lb/ydยณ). ์ •ํ™•ํ•œ ๋ฌด๊ฒŒ๋ฅผ ์•Œ๋ ค๋ฉด ๊ฑฐ๋ž˜ํ•˜๋Š” ์ง€์—ญ ๊ณต๊ธ‰์—…์ฒด์— ์ˆ˜์น˜๋ฅผ ํ™•์ธํ•˜์„ธ์š”.

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