Question

PLZ HELP A box is 3 inches by 2 feet by 10 yards. How many cubic inches are in the box? How many cubic yards are in the box? (Show all work)

Answer 1

Answer:

• 25,290 in³
• 5/9 yd³

Step-by-step explanation:

I would start by figuring the volume in cubic feet. 3 inches = 1/4 foot; 10 yards = 30 feet, so the volume is ...

  V = LWH = (30 ft)(2 ft)(1/4 ft) = 15 ft³

We want this in cubic inches, so we can multiply by the number of cubic inches in a cubic foot: 1 ft³ = 1728 in³.

  V = (15 ft³) × (1728 in³/ft³) = 25,290 in³

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We also want this in cubic yards, so we can divide by the number of cubic feet in a cubic yard: 1 yd³ = 27 ft³.

  V = (15 ft³) × (1 yd³)/(27 ft³) = (15/27) yd³ = 5/9 yd³