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.(1 point)

Question

in.^3

Answer 1

The volume of a rectangular prism is calculated by multiplying the three dimensions together:

Volume = Height x Length x Width

Plugging in the values:
Volume = (3 2/3) x (2 1/6) x (1 1/2)
Volume = (11/3) x (13/6) x (3/2)
Volume = 11/3 x 13/6 x 3/2
Volume = 143/9
Volume = 15 8/9

Therefore, the volume of the rectangular prism is 15 8/9 cubic inches.

Answer 2

no

Answer 3

Apologies for my previous mistake. Let's calculate the volume again:

Given:
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 = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18) x (3/2)
Volume = (143/6)
Volume = 23 5/6

Therefore, the volume of the rectangular prism is 23 5/6 cubic inches.

Answer 4

wrong

Answer 5

Let's recalculate the volume of the rectangular prism using the correct calculations:

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 = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = 143/18
Reducing the fraction:
Volume = 7 17/18

Therefore, the volume of the rectangular prism is 7 17/18 cubic inches.

Answer 6

nope

Answer 7

Let's re-calculate the volume of the rectangular prism one more time:

Height = 3 2/3 inches = 11/3 inches
Length = 2 1/6 inches = 13/6 inches
Width = 1 1/2 inches = 3/2 inches

Volume = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18)
Volume = 7 17/18

Therefore, the volume of the rectangular prism is 7 17/18 cubic inches.