Question

Find the volume and surface area of a rectangular box 2 ft by 1.3 ft by 4 ft.
Question content area bottom
Part 1
The volume is
  
enter your response here
▼
feet
square feet
cubic feet
. ​(Simplify your​ answer.)

Answer 1

To find the volume \( V \) of a rectangular box, the formula is:

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

Given the dimensions of the box as 2 ft (length), 1.3 ft (width), and 4 ft (height), the calculation would be:

\[
V = 2 \, \text{ft} \times 1.3 \, \text{ft} \times 4 \, \text{ft}
\]

Now, calculate the volume:

\[
V = 2 \times 1.3 \times 4
\]
\[
= 2 \times 5.2
\]
\[
= 10.4 \, \text{cubic feet}
\]

So the volume of the rectangular box is **10.4 cubic feet**.

Now, for the surface area \( A \) of a rectangular box, the formula is:

\[
A = 2lw + 2lh + 2wh
\]

Where:
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.

Plugging in the values:

\[
A = 2(2)(1.3) + 2(2)(4) + 2(1.3)(4)
\]

Calculate each part:

1. \( 2(2)(1.3) = 5.2 \)
2. \( 2(2)(4) = 16 \)
3. \( 2(1.3)(4) = 10.4 \)

Now, sum these:

\[
A = 5.2 + 16 + 10.4
\]
\[
= 31.6 \, \text{square feet}
\]

Thus, the surface area of the rectangular box is **31.6 square feet**.

**Summary:**
- Volume: **10.4 cubic feet**
- Surface Area: **31.6 square feet**