Question

What is the volume of a pasta box that is 2 1/2
in. long, 8 1/2
in. tall, and 1/2
in. wide? Apply the V=B×h
formula to solve.(1 point)
Responses

10 5/8 in.^3


11 1/2 in.^3


21 1/4 in.^3

1 1/4 in.^3

Answer 1

To find the volume of the pasta box using the formula \( V = B \times h \), we first need to determine the base area \( B \) and then multiply it by the height \( h \).

The box is described as having the following dimensions:
- Length (width) = \( \frac{1}{2} \) in
- Height = \( 8 \frac{1}{2} \) in = \( 8.5 \) in
- Depth (length) = \( 2 \frac{1}{2} \) in = \( 2.5 \) in

However, the width mentioned is \( \frac{1}{2} \) in.

First, we calculate the base area \( B \):

\[
B = \text{length} \times \text{width} = 2.5 \, \text{in} \times 0.5 \, \text{in} = 1.25 \, \text{in}^2
\]

Now we can find the volume \( V \):

\[
V = B \times h = 1.25 \, \text{in}^2 \times 8.5 \, \text{in}
\]

Calculating the volume:

\[
V = 1.25 \times 8.5 = 10.625 \, \text{in}^3
\]

Now, we can convert \( 10.625 \) to a mixed number:

\[
10.625 = 10 \frac{625}{1000} = 10 \frac{5}{8}
\]

Thus, the volume of the pasta box is:

\[
\boxed{10 \frac{5}{8} \, \text{in}^3}
\]