s926924
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

This figure represents a large storage container that will be built out of a new durable material. The storage company needs 8 of these containers.

How much of the new material is needed to build all 8 containers?

Enter your answer in the box.

This Figure Represents A Large Storage Container That Will Be Built Out Of A New Durable Material The Storage Company Needs 8 Of These Containers How Much Of Th class=

Sagot :

dewittis

Answer:

1872 ft.²

Step-by-step explanation:

First lets figure out all of the easy shapes:

The bottom one: 8 * 7 = 56

The one on the left: 5 * 8 = 40

The one of top: 8 * 3 = 24

The slanted rectangle: 5 * 8 = 40

The small rectangle below that : 2 * 8 = 16

Now we just have the polygon facing toward us. It can be broken up into 2 parts:

The lower half: 2 * 7 = 14

Imagine a line going from the top of the line marked "2" straight across to the other side. That is the bottom half. Now we are left with a trapezoid. The formula for the area of a trapezoid is as follows:

A = ((a + b) / 2) * h

What this means is that we had the top and bottom of the figure, divide that by 2, and multiply it by the height. That can be shown here:

(3 + 7) / 2 = 5 * 3 = 15

15 is the area of the trapezoid. Now we can combine that with 14 to get the total area of the polygon:

14 + 15 = 29

Then do the same again for the other identical figure

14 + 15 = 29

Now we have all the areas of our shapes. Let's add them up:

56 + 40 + 24 + 40 + 16 + 29 + 29 = 234

234 is the total surface area of the box. Since there are 8 boxes, multiply this by 8 to get your final answer:

234 * 8 = 1872 ft.²

Don't forget to include units!

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.