Answer :

GinnyAnswer
Certainly! Let's find the surface area of a rectangular box with the given dimensions: length = 3.5 feet, width = 3 feet, and height = 2.5 feet.

Here are the steps to calculate the surface area:

1. Identify the formula for the surface area of a rectangular box:
The surface area [tex]\( A \)[/tex] of a rectangular box is given by:
[tex]\[ A = 2(lw + lh + wh) \][/tex]
where:
- [tex]\( l \)[/tex] is the length,
- [tex]\( w \)[/tex] is the width, and
- [tex]\( h \)[/tex] is the height.

2. Substitute the given dimensions into the formula:

Length [tex]\( l = 3.5 \)[/tex] feet,
Width [tex]\( w = 3 \)[/tex] feet,
Height [tex]\( h = 2.5 \)[/tex] feet.

Substitute these values into the formula.

[tex]\[ A = 2(3.5 \times 3 + 3.5 \times 2.5 + 3 \times 2.5) \][/tex]

3. Perform the multiplication within the parentheses:
[tex]\[ 3.5 \times 3 = 10.5 \][/tex]
[tex]\[ 3.5 \times 2.5 = 8.75 \][/tex]
[tex]\[ 3 \times 2.5 = 7.5 \][/tex]

4. Add the results of the multiplications:

[tex]\[ 10.5 + 8.75 + 7.5 = 26.75 \][/tex]

5. Multiply the sum by 2 to get the surface area:

[tex]\[ A = 2 \times 26.75 = 53.5 \text{ square feet} \][/tex]

So, the surface area of the rectangular box is 53.5 square feet.

Answer:

53.5 ft²

Step-by-step explanation:

What is surface area?

Surface area is the area of all the faces of a three-dimensional shape. The equation for surface area is different for each shape. For example:

  • Cylinder: 2πrh +2πr²
  • Sphere: 4πr²
  • Cube: 6s²

The equation for the surface area of a rectangular box is 2lw +2lh +2wh

Where L is Length, W is Width and H is Height

Plug in your known information to find your answer:

SA= 2lw +2lh +2wh

SA= 2(3.5 ×3) +2(3.5×2.5) + 2(3×2.5)

SA= (2×10.5) + (2×8.75) + (2×7.5)

SA= 21 +  17.5 + 15

SA= 53.5

Learn more about surface area here: https://brainly.com/question/951562

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