What is the total number of vetices in a rectangular prism with a length of 7.5 inches a width of 2.5 inches and a height if 11 inches?
mmmh, rectangular prism ?
Isn't that just an ordinary box with a given length , width and height ?
How many corners (vertices) does a box have ?
To find the total number of vertices in a rectangular prism, we can use the formula:
Total Number of Vertices = 2 (Length × Width + Width × Height + Height × Length)
Given the dimensions of the rectangular prism:
Length = 7.5 inches
Width = 2.5 inches
Height = 11 inches
Substituting the values into the formula:
Total Number of Vertices = 2 (7.5 × 2.5 + 2.5 × 11 + 11 × 7.5)
Calculating the result:
Total Number of Vertices = 2 (18.75 + 27.5 + 82.5)
Total Number of Vertices = 2 (128.75)
Total Number of Vertices = 257.5
Since vertices are defined as points, we can't have a fraction of a vertex. Therefore, the total number of vertices in the rectangular prism is 257.