What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 in, a length of 2 1/6 in,, and a width of 1 1/2 in? Your answer should be a mixed number in simplest form.
To find the volume of a rectangular prism, you multiply the height, length, and width together.
Height: 3 2/3 in = 11/3 in
Length: 2 1/6 in = 13/6 in
Width: 1 1/2 in = 3/2 in
Volume = (11/3) * (13/6) * (3/2)
Volume = 143/6
Volume = 23 5/6 cubic inches
Therefore, the volume of the rectangular prism is 23 5/6 cubic inches.
wrong
Apologies for the mistake. Let's calculate it correctly:
Height: 3 2/3 in = 11/3 in
Length: 2 1/6 in = 13/6 in
Width: 1 1/2 in = 3/2 in
Volume = (11/3) * (13/6) * (3/2)
Volume = (143/18) * 3/2
Volume = 429/36
Volume = 11 13/36 cubic inches
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
dude no
My apologies for the confusion. Let's calculate it correctly this time:
Height: 3 2/3 in = 3 + 2/3 = 11/3 in
Length: 2 1/6 in = 2 + 1/6 = 13/6 in
Width: 1 1/2 in = 1 + 1/2 = 3/2 in
Volume = (11/3) * (13/6) * (3/2)
Volume = (143/18) * (3/2)
Volume = 429/36
Volume = 11 13/36 cubic inches
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.