Material Costs Test KEY
Name___________________
1. Calculate the following problems in cubic yards. Set up each
problem and show each step needed to complete the project.
Round your answers to the nearest hundredths.
A. How much concrete is needed for a barn floor that is 12ft x 40ft
x 4in?
4 in ÷ 12 in = 1/3 ft
(12 ft) x (40 ft) x (1/3 ft)
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5.93 yd3
B. How much concrete is needed for a driveway measuring 12ft x
30ft x 6in?
6 in ÷ 12 in = 0.5 ft
(12 ft) x (30 ft) x (0.5 ft)
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6.67 yd3
C. How much concrete is needed for a footing measuring 1ft x
110ft x 18in?
18 in ÷ 12 in = 1.5 ft
(1 ft) x (10 ft) x (1.5 ft)
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Answer: 6.11 yd3
D. How much concrete is needed for a patio measuring 14ft x 20ft
x 4in?
4 in ÷ 12 in = 1/3 ft
(14 ft) x (20 ft) x (1/3 ft)
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3.46 yd3
E. How much concrete is needed for a shed floor measuring 50ft x
150ft x 4in?
4 in ÷ 12 in = 1/3 ft
(50 ft) x (150 ft) x (1/3 ft)
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92.60 yd3
F. How much concrete is needed for a sidewalk measuring 4ft x
75ft x 3in?
3 in ÷ 12 in = 0.25 ft
(4 ft) x (75 ft) x (0.25 ft)
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2.78 yd3
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2. Complete the following problems associated with calculating
cubic yards. Determine the amount of concrete needed and the
cost for each project below. Round your answer to the nearest
hundredths. Show each step.
A. A utility shed floor measuring 8ft x 16ft x 4in.
Cost of concrete is $70/cubic yard.
Mileage is $1/mile for delivery over 10 miles.
Distance from retailer is 21 miles.
Sales tax is 8%.
4 in ÷ 12 in = 1/3 ft
(8 ft) x (16 ft) x (1/3 ft) = 1.58 yd3
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Cost of concrete: (1.58 yd3) x ($70) = $110.60
Cost plus tax:
Tax = $110.60 x 0.08 = $8.85
$110.60 + $8.85 = $119.45
Delivery cost: 21 mi – 10 mi = 11 mi
11 mi x $1 = $11
Total cost: $119.45 + $11 = $130.45
B. A landing for the front of a shed measuring 12ft x 10ft x 4in.
Cost of concrete is $70/cubic yard.
Mileage is $1/mile for delivery after 10 miles
Distance from retailer is 9 miles.
Sales tax is 8.5%.
4 in ÷ 12 in = 1/3 ft
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(12 ft) x (10 ft) x (1/3 ft) =
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1.48 yd3
Cost of concrete: 1.48 yd3 x $70 = $103.60
Cost plus tax: $103.60 x 0.085 = $8.81
$103.60 + $8.81 = $112.41
Note: There is no delivery charge.
C. A footing for a flag pole measuring 2ft x 2ft x 2ft and a pad for a
smoker measuring 4ft x 8ft x 3in.
Cost of concrete is $70/cubic yard.
There is no mileage charge.
Sales tax is 7.75%.
3 in ÷ 12 in = 0.25 ft
Flag pole footing:
(2 ft) x (2 ft) x (2 ft)
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0.30 yd3
Smoker pad:
(4 ft) x (8 ft) x (0.25 ft)
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0.30 yd3
Total concrete: 0.30 yd3 + 0.30 yd3 = 0.60 yd3
Cost of concrete: 0.60 yd3 x $70 = $42.00
Cost plus tax: $42.00 x 0.0775 = $3.26
$42.00 + $3.26 = $45.26
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