Question

A rectangular prism has the following dimensions. length: 18 inches width: 1 foot height: 14 inches If all the dimensions of this prism are tripled, what will be the surface area of the new figure?
3,816 in.2
7,632 in.2
27,216 in.2
11,448 in.2

Answer 1

Answer:

11,448 in.2

Step-by-step explanation:

Answer 2

Answer:

11,448 in²

Step-by-step explanation:

The area can be computed from ...

... A = 2(LW +H(L+W))

For the given prism, the area will be ...

... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²

The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...

... A = 3²×(1272 in²) = 11,448 in²