Verified answer

Answer:

None of the above.

Explanation:

The volume of a piece of wood is given as 15 dm³, and one of its dimensions is 2 dm. To find its volume, we need to use the formula

• Volume = Length x Breadth x Height

Since we know the volume and one of the dimensions, we can rearrange the formula to solve for the missing dimension.

• 15 dm³ = Length x Breadth x Height

Let's solve for Length:

• Length = Volume / (Breadth x Height)
• Length = 15 dm³ / (2 dm x Height)

Now, we don't know the value of Height, but we can find it by dividing the volume by the product of Length and Breadth.

• Height = Volume / (Length * Breadth)
• Height = 15 dm³ / (Length * 2 dm)

Substituting this expression for Height into the previous equation, we get:

• Length = 15 dm³ / (2 dm x (15 dm³ / (Length * 2 dm)

Simplifying this, we get:

• Length = (15 dm³ x Length) / (30 dm⁴)

Multiplying both sides by 30 dm⁴, we get:

• 30 dm⁴ x Length = 15 dm³ x Length

Dividing both sides by Length, we get:

• 30 dm⁴ = 15 dm³

We can see that there must be an error in the problem statement, as the units are not consistent.

Therefore, we cannot find the missing dimension or calculate the volume of the wood with the information given.