Question

Find the volume of a rectangular block of ice 2 ft by 3 and one half
ft by one half
ft.

Answer 1

To find the volume of a rectangular block, you can use the formula:

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

In this case, the dimensions of the block of ice are:

- Length = 2 ft
- Width = 3.5 ft (which can also be represented as \( \frac{7}{2} \) ft)
- Height = 0.5 ft

Now, let's calculate the volume:

\[
\text{Volume} = 2 \, \text{ft} \times 3.5 \, \text{ft} \times 0.5 \, \text{ft}
\]

Calculating step by step:

First, multiply \( 2 \, \text{ft} \) and \( 3.5 \, \text{ft} \):

\[
2 \times 3.5 = 7 \, \text{ft}^2
\]

Next, multiply that result by \( 0.5 \, \text{ft} \):

\[
7 \, \text{ft}^2 \times 0.5 \, \text{ft} = 3.5 \, \text{ft}^3
\]

Thus, the volume of the rectangular block of ice is:

\[
\boxed{3.5} \, \text{ft}^3
\]