Answered

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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

Sagot :

MrRoyal

Answer:

The surface area is 46 square inches

Step-by-step explanation:

The question is roughly formatted.

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

Plan A:

Shape: Rectangular Prism

[tex]Height = 3in[/tex]

[tex]Length = 1\ in[/tex]

[tex]Width = 5in[/tex]

Plan B:

Shape: Triangular Prism

[tex]Base: 2.8\ in\ by\ 2\ in[/tex]

[tex]Height = 2\ in[/tex]

[tex]Slant\ height =5[/tex]

Required

Determine the total surface area of A

Plan A is a rectangular prism

The surface area is calculated as:

[tex]Area = 2 *[Length * Width + Height * Width + Length * Height][/tex]

So, we have:

[tex]Area = 2 *[1in * 5in + 3in * 5in+ 1in* 3in][/tex]

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

[tex]Area = 2 *[23in^2][/tex]

[tex]Area = 46in^2[/tex]

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