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A carton has a length of 2 1/4 feet width of 1 3/5 and height of 2 1/3 feet what is the volume of the carton

2 Answers

6 votes

Answer: carton is 8.4 cubic feet.

504/60 in factions

Explanation:

To find the volume of the carton, we need to multiply its length, width, and height together.

Given that the length of the carton is 2 1/4 feet, the width is 1 3/5 feet, and the height is 2 1/3 feet, we can convert these mixed numbers to improper fractions for easier calculations.

Converting 2 1/4 to an improper fraction:

2 1/4 = (2 * 4 + 1) / 4 = 9/4

Converting 1 3/5 to an improper fraction:

1 3/5 = (1 * 5 + 3) / 5 = 8/5

Converting 2 1/3 to an improper fraction:

2 1/3 = (2 * 3 + 1) / 3 = 7/3

Now, we can multiply the three fractions together to find the volume:

Volume = (9/4) * (8/5) * (7/3)

To simplify the multiplication, we can cancel out common factors across the numerators and denominators:

Volume = (9 * 8 * 7) / (4 * 5 * 3)

Simplifying further, we get:

Volume = 504 / 60

Dividing 504 by 60, we find:

Volume = 8.4

Therefore, the volume of the carton is 8.4 cubic feet.

User Martin Seubert
by
8.9k points
1 vote

Answer:

8.4 cubic feet

Explanation:

Convert mixed numbers to improper fractions:

Length: 2 1/4 = 9/4

Width: 1 3/5 = 8/5

Height: 2 1/3 = 7/3

Multiply the three fractions together to find the volume:

Volume = (9/4) * (8/5) * (7/3)

Simplify the fractions:

Volume = (9 * 8 * 7) / (4 * 5 * 3)

Multiply the numerators and denominators:

Volume = 504 / 60

Simplify the fraction:

Volume = 8.4

User Kenny Ostrom
by
8.6k points

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