Question

What is the volume of a shipping container that is 20 1/2
ft. long, 12 1/4
ft. wide, and 8 1/4
ft. tall? Apply the V=B×h
formula to solve.(1 point)
Responses

2,071 25/32 ft.^3

169 1/8 ft.^3

41 ft.^3

251 1/8 ft.^3

Answer 1

To find the volume of the shipping container, we need to apply the formula \( V = B \times h \), where \( B \) is the area of the base and \( h \) is the height.

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

1. Length of the container: \( 20 \frac{1}{2} \) ft = \( 20.5 \) ft
2. Width of the container: \( 12 \frac{1}{4} \) ft = \( 12.25 \) ft

Now, calculate the area of the base \( B \):

\[
B = \text{Length} \times \text{Width} = 20.5 \, \text{ft} \times 12.25 \, \text{ft}
\]

Calculating it:

\[
B = 20.5 \times 12.25 = 250.625\, \text{ft}^2
\]

Next, we need to find the height \( h \):

3. Height of the container: \( 8 \frac{1}{4} \) ft = \( 8.25 \) ft

Now, we can calculate the volume \( V \):

\[
V = B \times h = 250.625 \, \text{ft}^2 \times 8.25 \, \text{ft}
\]

Calculating it:

\[
V = 250.625 \times 8.25 = 2071.15625 \, \text{ft}^3
\]

Now, converting to a fractional form, we find:

\[
2071.15625 \, \text{ft}^3 = 2071 \frac{25}{32} \, \text{ft}^3
\]

Thus, the volume of the shipping container is:

**2071 25/32 ft³**

So the correct response is:

**2,071 25/32 ft³**