What is the volume, in cubic feet, of a rectangular prism with a height of 2 1/2 ft., a length of 2 1/4 ft., and a width of 3 1/8 ft.? Your answer should be a mixed number in simplest form.(1 point)
The volume of a rectangular prism is calculated by multiplying the height, length, and width together.
Volume = height x length x width
Volume = (2 1/2) x (2 1/4) x (3 1/8)
Volume = (5/2) x (9/4) x (25/8)
Volume = (225/16) cubic feet
In mixed number form, this would be:
Volume = 14 1/16 cubic feet
check
My apologies for the error in my previous response. Let's correct that calculation:
Volume = height x length x width
Volume = (2 1/2) x (2 1/4) x (3 1/8)
Volume = (5/2) x (9/4) x (25/8)
Volume = (225/32) cubic feet
In mixed number form, this would be:
Volume = 7 1/32 cubic feet
Thank you for pointing that out.
double check
Let's double-check the calculation:
Height = 2 1/2 = 5/2
Length = 2 1/4 = 9/4
Width = 3 1/8 = 25/8
Volume = height x length x width
Volume = (5/2) x (9/4) x (25/8)
Volume = (225/64) cubic feet
Converting this to a mixed number:
225 รท 64 = 3 with a remainder of 33
So, the volume is 3 33/64 cubic feet.
Thank you for your patience.