Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

1. A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?
10 m
4 m
8 m
6 m
12m

1 A Rectangular Pyramid Is Intersected By A Plane To Create The Frustum Shown If The Height Of The Original Pyramid Is 14 M What Is The Volume Of The Frustum 10 class=

Sagot :

The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3

The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4

If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)

If you are brave you could point this out to your teacher
akposevictor

The volume of the frustum that is shown in the diagram is: C. 256 m³.

What is the Volume of Frustum?

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

Learn more about volume of frustum on:

https://brainly.com/question/1641223

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.