A wood board is one of a 6 different parts in a shelf kit. the width, depth, and height dimensions of the board are 42 inches x 8 inches x .75 inches, respectively. the board is made from southern yellow pine, which has an air dry weight density of .021 lbs/in.3. (watch the units of measure)
Accepted Solution
A:
the complete question is A wood board is one of a 6 different parts in a shelf kit. the width, depth, and height dimensions of the board are 42 inches x 8 inches x .75 inches, respectively. the board is made from southern yellow pine, which has an air dry weight density of .021 lbs/in.3. (watch the units of measure) 1) What is the volume of the wood board? Precision
= 0.00 2) What is the surface area of the wood board?
Precision = 0.00 3)What is the weight of the wood board? Precision
= 0.00 4) If one gallon of paint will cover 35,000 square
inches, how many gallons would be needed to give two coats of paint to 15,000
boards? Round your answer to the nearest gallon
Part 1) What is the volume of the wood board? Precision = 0.00 we know that volume=L*W*H-----> 42*8*0.75----> 252 in³
the answer Part 1) is 252 in³
Part 2) What is the surface area of the wood board? Precision = 0.00
surface area=2*area of the base+perimeter of the base*height
area of the base=42*8----> 336 in² perimeter of the base=2*[42+8]----> 100 in height=0.75 in
Part 3)What is the weight of the wood board? Precision = 0.00
we know that density=mass/volume-----> mass=density*volume density=0.021 lbs/in³ volume=252 in³ mass=0.021*252----> 5.292 lbs
the answer Part 3) is 5.29 lbs
Part 4) If one gallon of paint will cover 35,000 square inches, how many gallons would be needed to give two coats of paint to 15,000 boards? Round your answer to the nearest gallon
if 1 gallons cover------------> 35000 in² x -----------------------> 747 in² (one board) x=747/35000-----> x=0.021 gallons per 1 board so 15000*0.021------> 320.14 gallons but remember ------> two coats of paint so 320.14*2-----> 640.28 gallons------> 640 gallons