Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Write the dimensions of two different rectangular prisms that have the same surface area.

Sagot :

Dannymal
2 × 6 × 48 = 792 because it's 24 + 192 + 676
12 x 24 x 3 = 792 because it's 144 + 72 + 576

Answer:

The two different dimensions of rectangular prism that have same surface area is:

              2×6×48

and        12×24×3    

Step-by-step explanation:

We know that the surface area of rectangular prisms with dimensions as:

length 'l' , width 'w' and height 'h' is given as:

[tex]Surface\ Area=2(lw+wh+hl)[/tex]

1)

Let us consider a first rectangular prism with dimensions as:

2 by 6 by 48

Hence, the surface area of rectangular prism is:

Surface area=2×(2×6+2×48+6×48)

                    = 792

2)

We consider a second rectangular prism with dimensions as:

12 by 24 by 3

Hence, the surface area is calculated as:

Surface Area=2×(12×24+12×3+3×24)

                     = 792

Hence, the rectangular prism with different dimensions have same surface area.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.