Question

question 12 of 23 - multiple choice

four pieces of wood, each 38-1/2\ long, will be cut from one long piece of stock. if the waste due to each saw kerf is 1/8\, what is the minimal length of wood needed?

a 12 9-3/8\
b 12 9\
c 12 10-3/8\
d 12 9-7/8\

Explanation:

Calculate total length of wood pieces

Using the Fraction Arithmetic and Fraction Word Problems knowledge points

$$ L_{\text{pieces}} = 4 \times 38\frac{1}{2}'' = 4 \times 38.5'' = 154'' $$

Calculate total saw kerf waste

Using the Construction Math knowledge point

$$
LATEXBLOCK0
$$

Calculate total minimal length in inches

Using the Fraction Arithmetic knowledge point

$$ L_{\text{total}} = 154'' + \frac{3}{8}'' = 154\frac{3}{8}'' $$

Convert total length to feet and inches

Using the Construction Math knowledge point

$$
LATEXBLOCK1
$$

Answer:

• A) 12' 9-3/8"
• B) 12' 9"
• C) 12' 10-3/8" (Correct answer)
• D) 12' 9-7/8"