Question

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

Answer 1

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

Answer 2

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

2×6×48

and 12×24×3

Explanation:

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

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

`Surface\ Area=2(lw+wh+hl)`

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.