Question

A bale of hay measures 2 feet by 2 feet by 3 feet. Hay weighs 8 pounds per cubic foot.



How much does the bale of hay weigh?

Answer options with 5 options
A.
8 pounds

B.
16 pounds

C.
24 pounds

D.
32 pounds

E.
96 pounds

Answer 1

To find the weight of the bale of hay, we first need to calculate its volume and then multiply that volume by the weight of hay per cubic foot.

The volume \( V \) of a rectangular prism (like the bale of hay) is calculated using the formula:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

In this case:
- Length = 2 feet
- Width = 2 feet
- Height = 3 feet

Now, substituting these values into the volume formula:

\[
V = 2 \, \text{feet} \times 2 \, \text{feet} \times 3 \, \text{feet} = 12 \, \text{cubic feet}
\]

Next, we know that hay weighs 8 pounds per cubic foot. To find the total weight of the bale of hay, we multiply the volume by the weight per cubic foot:

\[
\text{Weight} = V \times \text{weight per cubic foot} = 12 \, \text{cubic feet} \times 8 \, \text{pounds/cubic foot} = 96 \, \text{pounds}
\]

Thus, the weight of the bale of hay is:

**E. 96 pounds**