Question
What is the volume of a rectangular prune that has a height of 10 1/2 in, a length of 6 2/3 in, a width of 2 1/4 in? Is it large enough to hold an item that has a height of 8 in length of 6 in, width of 2 in?
Answers
Answered by
GPT 3.5
To find the volume of the rectangular prism, you multiply the height, length, and width.
Volume = height x length x width
Height = 10 1/2 inches = 21/2 inches
Length = 6 2/3 inches = 20/3 inches
Width = 2 1/4 inches = 9/4 inches
Volume = (21/2) x (20/3) x (9/4)
Volume = 315/2
To check if it can hold the item with dimensions 8x6x2 inches, find the volume of that item.
Volume = 8 x 6 x 2
Volume = 96
Since 96 is greater than 315/2, the rectangular prism is large enough to hold the item with dimensions 8x6x2 inches.
Volume = height x length x width
Height = 10 1/2 inches = 21/2 inches
Length = 6 2/3 inches = 20/3 inches
Width = 2 1/4 inches = 9/4 inches
Volume = (21/2) x (20/3) x (9/4)
Volume = 315/2
To check if it can hold the item with dimensions 8x6x2 inches, find the volume of that item.
Volume = 8 x 6 x 2
Volume = 96
Since 96 is greater than 315/2, the rectangular prism is large enough to hold the item with dimensions 8x6x2 inches.
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