With a rectangular prism, if the height increased by 2 in, by how much does the volume increase if the height is 6 1/2, the length is 8 1/4 and the width is 4 1/2
To find the increase in volume, you need to calculate the difference between the new volume and the original volume.
Original volume = length * width * height
New volume = length * width * (height + increase)
Original volume = 8 1/4 * 4 1/2 * 6 1/2
= (33/4) * (9/2) * (13/2)
= 2145/8
New volume = 8 1/4 * 4 1/2 * (6 1/2 + 2)
= (33/4) * (9/2) * (21/2)
= 10206/8
Increase in volume = New volume - Original volume
= (10206/8) - (2145/8)
= 8061/8
Therefore, the volume increases by 8061/8 cubic inches.