Answer:
Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch ⇒ C
Step-by-step explanation:
Let us find the volume of each suitcase and find the price per cubic inch to chose the better deal
The formula of the volume of a rectangular prism is V = L × W × H, where
- L is the length of it
- W is the width of it
- H is the height of it
Suitcase 1:
∵ Its length is 14 inches
∵ Its width is 9 inches
∵ Its height is 22 inches
- Substitute them in the formula of the volume above
∵ V = 14 × 9 × 22
∴ V = 2772 inches³
∵ The cost of it is $139.99
- Divide the cost by the volume to find the cost per cubic inch
∵ The cost per cubic inch = 139.99 ÷ 2772
∴ The cost per cubic inch ≅ 0.05
∴ The cost per cubic inch is approximately $0.05
Suitcase 2:
∵ Its length is 18 inches
∵ Its width is 10 inches
∵ Its height is 22 inches
- Substitute them in the formula of the volume above
∵ V = 18 × 10 × 22
∴ V = 3960 inches³
∵ The cost of it is $158.99
- Divide the cost by the volume to find the cost per cubic inch
∵ The cost per cubic inch = 158.99 ÷ 3960
∴ The cost per cubic inch ≅ 0.04
∴ The cost per cubic inch is approximately $0.04
∵ 0.04 is less than 0.05
∵ 0.05 - 0.04 = 0.01
∴ Suitcase 2 is less expensive than suitcase 1 by $0.01
∴ Suitcase 2 is the better deal
Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch
