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Freight Class worksheet

Grades 6–7

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Length: 45 in
- Width: 45 in
- Height: 55 in
- Weight of this pallet or crate: 380 lb
Find: Density-based freight class
Answer
2.
Problem 2.
- Length: 40 in
- Width: 26 in
- Height: 52 in
- Weight of this pallet or crate: 600 lb
Find: Density-based freight class
Answer
3.
Problem 3.
- Length: 55 in
- Width: 36 in
- Height: 38 in
- Weight of this pallet or crate: 410 lb
Find: Density-based freight class
Answer
4.
Problem 4.
- Length: 50 in
- Width: 38 in
- Height: 70 in
- Weight of this pallet or crate: 580 lb
Find: Density-based freight class
Answer
5.
Problem 5.
- Length: 60 in
- Width: 45 in
- Height: 58 in
- Weight of this pallet or crate: 400 lb
Find: Density-based freight class
Answer
6.
Problem 6.
- Length: 52 in
- Width: 46 in
- Height: 48 in
- Weight of this pallet or crate: 500 lb
Find: Density-based freight class
Answer
7.
Problem 7.
- Length: 32 in
- Width: 38 in
- Height: 45 in
- Weight of this pallet or crate: 560 lb
Find: Density-based freight class
Answer
8.
Problem 8.
- Length: 45 in
- Width: 36 in
- Height: 54 in
- Weight of this pallet or crate: 425 lb
Find: Density-based freight class
Answer
9.
Problem 9.
- Length: 60 in
- Width: 40 in
- Height: 36 in
- Weight of this pallet or crate: 500 lb
Find: Density-based freight class
Answer
10.
Problem 10.
- Length: 44 in
- Width: 38 in
- Height: 50 in
- Weight of this pallet or crate: 500 lb
Find: Density-based freight class
Answer

Answer key: Freight Class worksheet

1. Density-based freight class: 175
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(45 \times 45 \times 55)}{1,728}$ $= 64.453125 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{380}{64.453125}$ $= 5.895758 lb/ft³$
3. A density of 4 up to, but not including, 6 pounds per cubic foot falls in step 4 of the 13-step scale
  $freight class$ $= 175$
2. Density-based freight class: 70
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(40 \times 26 \times 52)}{1,728}$ $= 31.296296 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{600}{31.296296}$ $= 19.171598 lb/ft³$
3. A density of 15 up to, but not including, 22.5 pounds per cubic foot falls in step 9 of the 13-step scale
  $freight class$ $= 70$
3. Density-based freight class: 100
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(55 \times 36 \times 38)}{1,728}$ $= 43.541667 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{410}{43.541667}$ $= 9.416268 lb/ft³$
3. A density of 8 up to, but not including, 10 pounds per cubic foot falls in step 6 of the 13-step scale
  $freight class$ $= 100$
4. Density-based freight class: 125
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(50 \times 38 \times 70)}{1,728}$ $= 76.967593 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{580}{76.967593}$ $= 7.535639 lb/ft³$
3. A density of 6 up to, but not including, 8 pounds per cubic foot falls in step 5 of the 13-step scale
  $freight class$ $= 125$
5. Density-based freight class: 175
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(60 \times 45 \times 58)}{1,728}$ $= 90.625 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{400}{90.625}$ $= 4.413793 lb/ft³$
3. A density of 4 up to, but not including, 6 pounds per cubic foot falls in step 4 of the 13-step scale
  $freight class$ $= 175$
6. Density-based freight class: 125
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(52 \times 46 \times 48)}{1,728}$ $= 66.444444 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{500}{66.444444}$ $= 7.525084 lb/ft³$
3. A density of 6 up to, but not including, 8 pounds per cubic foot falls in step 5 of the 13-step scale
  $freight class$ $= 125$
7. Density-based freight class: 70
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(32 \times 38 \times 45)}{1,728}$ $= 31.666667 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{560}{31.666667}$ $= 17.684211 lb/ft³$
3. A density of 15 up to, but not including, 22.5 pounds per cubic foot falls in step 9 of the 13-step scale
  $freight class$ $= 70$
8. Density-based freight class: 100
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(45 \times 36 \times 54)}{1,728}$ $= 50.625 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{425}{50.625}$ $= 8.395062 lb/ft³$
3. A density of 8 up to, but not including, 10 pounds per cubic foot falls in step 6 of the 13-step scale
  $freight class$ $= 100$
9. Density-based freight class: 92.5
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(60 \times 40 \times 36)}{1,728}$ $= 50 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{500}{50}$ $= 10 lb/ft³$
3. A density of 10 up to, but not including, 12 pounds per cubic foot falls in step 7 of the 13-step scale
  $freight class$ $= 92.5$
10. Density-based freight class: 92.5
1. Multiply length, width and height, then divide by 1,728, because a cubic foot holds 1,728 cubic inches
  $\frac{(44 \times 38 \times 50)}{1,728}$ $= 48.37963 ft³$
2. Divide the weight by the cubic feet to get density, which is how heavy each cubic foot is
  $\frac{500}{48.37963}$ $= 10.334928 lb/ft³$
3. A density of 10 up to, but not including, 12 pounds per cubic foot falls in step 7 of the 13-step scale
  $freight class$ $= 92.5$