princesscathy775
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3

Sagot :

Answer:

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

[tex]Volume=Bh[/tex]

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

[tex]65=Bh[/tex]

The height of prism is increased by a factor of 20. So, the new volume is:

[tex]Volume=B(20h)[/tex]

[tex]Volume=20(Bh)[/tex]

[tex]Volume=20(65)[/tex]

[tex]Volume=1300[/tex]

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.