Question

The width of a recycling bin is 3/4 foot,the length is 1 foot,and the height is 1 1/2 feet.What is the volume of the recycling bin?

Answer 1

Answer:

1 1/8

Step-by-step explanation:

Answer 2

The formula to find volume is volume = length x width x height

So to find the volume of a recycling bin, multiply 3/4 x 1 x 1 1/2 ft

Anything x 1 = itself, so 3/4 x 1 = 3/4

Before multiplying 3/4 and 1 1/2 to make it easier I’m going to make 1 1/2 into an improper fraction instead of a mixed number.
To do this I multiply the outside number (1) by the denominator (2), and then add that number to the numerator (1)

1x2 = 2
2+1 = 3
1 1/2 = 3/2

Now I can multiply 3/4 and 3/2

Multiply the numerators: 3 x 3 = 9
Multiply the denominators: 4 x 2 = 8

3/4 x 3/2 = 9/8
9/8 is equivalent to 1 1/8, depending on if your teacher likes your answer to be a mixed number or not.

So, the volume of the recycling bin is 9/8 ft^3.