Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A rectangular pyramid is shown in the figure.

What is the surface area of the pyramid?

116.8 in^2

233.6 in^2

58.4 in^2

86.8 in^2

A Rectangular Pyramid Is Shown In The Figure What Is The Surface Area Of The Pyramid 1168 In2 2336 In2 584 In2 868 In2 class=

Sagot :

sqdancefan

Answer:

  (a)  116.8 in²

Step-by-step explanation:

You want the surface area of the rectangular pyramid with side lengths 6 inches and 5 inches, and slant heights from those edges of 7.8 inches and 8 inches.

Base

The area of the base is ...

  A = LW

  A = (6 in)(5 in) = 30 in²

Faces

The area of the two triangular faces with base 6 inches is ...

  A = 2×1/2bh = (6 in)(7.8 in) = 46.8 in²

The area of the two triangular faces with base 5 inches is ...

  A = bh = (5 in)(8 in) = 40 in²

The total surface area is the sum of the base and face areas:

  30 in² +46.8 in² +40 in² = 116.8 in²

The surface area of the pyramid is 116.8 square inches, choice A.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.