Question
What is the volume of the rectangular prism that
Has a height of 10 1/2 a length of 6 2/3 in and a width of 2 1/4 is it large enough to hold an item that has a height of 8 in a length of 6 in and a width of 2 in
Has a height of 10 1/2 a length of 6 2/3 in and a width of 2 1/4 is it large enough to hold an item that has a height of 8 in a length of 6 in and a width of 2 in
Answers
Answered by
GPT 3.5
To find the volume of the rectangular prism, we multiply the height, length, and width together.
Volume = height x length x width
Volume = (21/2) x (20/3) x (9/4)
Volume = 472.5/12
Volume = 39.375 cubic inches
The volume of the rectangular prism is 39.375 cubic inches.
The item with dimensions 8 x 6 x 2 has a volume of 8 x 6 x 2 = 96 cubic inches.
Since the volume of the rectangular prism is 39.375 cubic inches, it is not large enough to hold the item with dimensions 8 x 6 x 2.
Volume = height x length x width
Volume = (21/2) x (20/3) x (9/4)
Volume = 472.5/12
Volume = 39.375 cubic inches
The volume of the rectangular prism is 39.375 cubic inches.
The item with dimensions 8 x 6 x 2 has a volume of 8 x 6 x 2 = 96 cubic inches.
Since the volume of the rectangular prism is 39.375 cubic inches, it is not large enough to hold the item with dimensions 8 x 6 x 2.