Answer :
Answer:
To find the possible dimensions (length and width) of the crate given its volume and height, we can use the formula for the volume of a rectangular prism:
Given that the volume is
and the height is , we can rearrange the formula to solve for the length and width:
To isolate the product of length and width, we divide both sides by the height:
Now we need to find pairs of positive numbers (length and width) that multiply to give
. Here are some possible pairs:
Length = , Width =
Length = , Width =
Length = , Width =
Length = , Width =
You can choose any of these pairs as valid dimensions for the crate. Each combination maintains the given volume while satisfying the height constraint.