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SCORPION-xisa [38]
4 years ago
7

The previous rectangular prism had a surface area of 254 square inches. If each dimension is doubled, how does the surface area

change?
The surface area doubles.
The surface area triples.
The surface area increases by 4 times.
The surface area increases by 8 times.
Mathematics
2 answers:
zloy xaker [14]4 years ago
5 0

Answer:

The surface area increases by four times.

Step-by-step explanation:

Annette [7]4 years ago
4 0

Answer:

The surface area increases by 4 times

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z -----> the scale factor

x ----> the surface area of the new rectangular prism

y ---> the surface area of the original rectangular prism

so

z^{2}=\frac{x}{y}

we have

z=2 ----> because is doubled

y=254\ in^{2}

substitute and solve for x

2^{2}=\frac{x}{254}

x=(4)254=1,016\ in^{2} ----> surface area increases by 4 times.

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