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.