Final answer:
The block of wood could have different combinations of lengths and widths.
Step-by-step explanation:
To find the lengths and widths of the block of wood, we need to consider the formula for volume. The formula for volume is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We know that the volume of the block is 24 cubic inches, and the height is 2 inches. Substituting these values into the formula, we get 24 = lwh. Since the height is given as 2 inches, we can rearrange the formula to solve for the lengths and widths. Let's say the length is x and the width is y. Then, we have 24 = xy(2). Simplifying further, we get 24 = 2xy. Dividing both sides of the equation by 2, we get 12 = xy. So, the block of wood could have different combinations of lengths and widths, such as 4 inches by 3 inches or 6 inches by 2 inches.
Learn more about Volume of a block