Question

Eastern Ice Company sells 10 pound blocks of ice in the shape shown. The volume of the block of ice is 375 Inches cubed. What is the height of the block of ice?
A block of ice has a length of 10 inches and a width of 7.5 inches.
Use the formula Height = StartFraction Volume Over length times width EndFraction, where l is the length of the prism, w is the width, V is the volume, and h is the height.
2.5 inches
4 inches
5 inches
7.5 inches

Answer 1

To find the height of the block of ice, we can use the formula:

\[
h = \frac{V}{l \times w}
\]

where:
- \( V = 375 \) cubic inches (the volume)
- \( l = 10 \) inches (the length)
- \( w = 7.5 \) inches (the width)

Now, let's calculate \( l \times w \):

\[
l \times w = 10 \times 7.5 = 75 \, \text{square inches}
\]

Now, substitute the values into the formula to find the height \( h \):

\[
h = \frac{375}{75}
\]

Calculating this gives:

\[
h = 5 \, \text{inches}
\]

So the height of the block of ice is **5 inches**.