The volume of a rectangular prism or cube is: Length × Width × Height
In this case,
- the length of the prism is 2 feet
- the width of the prism is 1.5 feet
- the height of the prism is 1.5 feet
Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³
Keep in mind that volume is represented in cubic units!
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The unit rate of boxes produced per hour by the machine is 1200 boxes per hour. This is obtained by multiplying the number of boxes made in 15 minutes (300 boxes) by 4 to account for the 4 15-minute intervals in an hour.
To find the unit rate of boxes produced per hour, we first need to determine how many minutes are in an hour. There are 60 minutes in 1 hour.
Then, we need to figure out how many 15-minute intervals fit into 60 minutes. To do this, we divide 60 by 15, which gives us 4. This means there are 4 15-minute intervals in an hour.
Given that the machine makes 300 boxes in 15 minutes, we multiply this quantity by 4 to find out how many boxes it makes in an hour. Therefore, the expression for the unit rate in boxes per hour is 300 boxes * 4, which equals 1200 boxes per hour.
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