Question

PROBLEM SOLVING WITH SURFACE AREA

A jewelry company is considering two different packages for their new bracelet. Both

options are constructed as a wooden box with a cardboard label that covers the lateral

surfaces. Use the information to answer the questions.

PLAN A

PLAN B

B

2.8 in

<

3 in

2 in

5 in

1 in

5 in

2 in

What is the total surface area of the package in PLAN A?

O 15 square inches

O 23 square inches

O 35 square inches

46 square inches

Answer 1

The surface area is 46 square inches

Explanation:

The question is roughly formatted.

From the complete question, we have the following parameters.\

Plan A:

Shape: Rectangular Prism

`Height = 3in`

`Length = 1\ in`

`Width = 5in`

Plan B:

Shape: Triangular Prism

`Base: 2.8\ in\ by\ 2\ in`

`Height = 2\ in`

`Slant\ height =5`

Required

Determine the total surface area of A

Plan A is a rectangular prism

The surface area is calculated as:

`Area = 2 *[Length * Width + Height * Width + Length * Height]`

So, we have:

`Area = 2 *[1in * 5in + 3in * 5in+ 1in* 3in]`

`Area = 2 *[5in^2 + 15in^2+ 3in^2]`

`Area = 2 *[23in^2]`

`Area = 46in^2`