Answer:
1.5 in
Explanation:
To find the missing dimension (length), we can use the formula for the volume of a prism:
Volume = Base Area x Height
We know that the volume of the prism is 60 in³ and the height is 4 in. We also know that the base of the prism is a rectangle with a width of 2.5 in.
Base Area = Length x Width
We can rearrange the formula for volume to solve for the missing dimension:
Length = Volume / (Base Area x Height)
Base Area = Width x Length
Plugging in the given values, we get:
Base Area = 2.5 in x Length
Base Area x Height = 10 in²
Length = 60 in³ / (10 in² x 4 in)
Length = 1.5 in
Therefore, the missing dimension (length) of the prism is 1.5 inches.