If a rectangular solid has a volume of 27 and at least one edge the length of 3,which of the following Must be true?

I,m not sure???

a.The solid is a cube

b.Exactly 4 edges of the solid have a length of 3

c.Exactly 6 edges of the solid have a length of 3

d.The product of the lengths of at least one pair of edges of the solid must equal 9.

it's D. because

27/3 = 9 -> which must be the product of the remaining two lengths that are not given.

That you so.... much for the help- it's been a rough day in Geometry

To determine which statement must be true, we need to analyze the given information. We know that the volume of the rectangular solid is 27 and at least one edge has a length of 3.

First, let's write down the formula for the volume of a rectangular solid:
Volume = Length x Width x Height

Given that the volume is 27, we can write the equation:
27 = Length x Width x Height

Since we know that at least one edge has a length of 3, we can assume that either the length, width, or height is 3. Let's consider each possibility:

1. If the length is 3, then the equation becomes:
27 = 3 x Width x Height
Dividing both sides by 3, we get:
9 = Width x Height

In this case, we can see that the product of the lengths of at least one pair of edges (Width and Height) is 9.

2. If the width is 3, then the equation becomes:
27 = Length x 3 x Height
Dividing both sides by 3, we get:
9 = Length x Height

Again, we can see that the product of the lengths of at least one pair of edges (Length and Height) is 9.

3. If the height is 3, then the equation becomes:
27 = Length x Width x 3
Dividing both sides by 3, we get:
9 = Length x Width

Once more, we see that the product of the lengths of at least one pair of edges (Length and Width) is 9.

From these cases, we can conclude that the product of the lengths of at least one pair of edges of the solid must equal 9. Therefore, the correct answer is (d): "The product of the lengths of at least one pair of edges of the solid must equal 9."