Question

The prism has a surface area of 202 ft2.



What would the surface area of the prism be if each dimension were tripled?

Answer 1

the new dimensions are:
5*3=...
9*3=...
4*3=...

Answer 2

15 27 and 12

Answer 3

correct!

Answer 4

then x by them?

Answer 5

which us 4860

Answer 6

please wait a moment, I'm checking your computation

Answer 7

kk

Answer 8

your problem asks for the area of the total surface of the prism. Now the area of the total surface of your prism is given by the subsequent computation:

A=2*(15*27+ 15*12+27*12)=...

Answer 9

i got 121608

Answer 10

is that correct?

Answer 11

here more steps:
\[\Large \begin{gathered}
A = 2 \times \left( {15 \times 27 + 15 \times 12 + 27 \times 12} \right) = \hfill \\
\hfill \\
= 2 \times \left( {405 + 180 + 324} \right) = ... \hfill \\
\end{gathered} \]

Answer 12

1314

Answer 13

I got a different result

Answer 14

wait do we add the two together?

Answer 15

yes!

Answer 16

i got 122922

Answer 17

you have to compute this:
405+180+324=...
\[\large \begin{gathered}
A = 2 \times \left( {15 \times 27 + 15 \times 12 + 27 \times 12} \right) = \hfill \\
\hfill \\
= 2 \times \left( {405 + 180 + 324} \right) = \hfill \\
\hfill \\
= 2 \times 909 = ... \hfill \\
\end{gathered} \]

Answer 18

1818 plus 122922 = 124740

Answer 19

no, it is: A= 1818 feet^2 only

Answer 20

-3- hm?

Answer 21

I didnt get that, sorry. :/

Answer 22

the new area of the total surface is, namely your answer, is:
\[\Large \begin{gathered}
A = 2 \times \left( {15 \times 27 + 15 \times 12 + 27 \times 12} \right) = \hfill \\
\hfill \\
= 2 \times \left( {405 + 180 + 324} \right) = \hfill \\
\hfill \\
= 2 \times 909 = 1818fee{t^2} \hfill \\
\end{gathered} \]

Answer 23

oh :l

Answer 24

i see now...

Answer 25

since we have to sum the area of all of the six sides of your prism

Answer 26

so 10908? 1818 x 6

Answer 27

no, we have finished, your answer is:
A= 1818 feet^2

Answer 28

oh kk. Thank you!!! ^u^

Answer 29

:)

Answer 30

Old Surface Area = 202 ft^2

New Surface Area = 1818 ft^2

Notice we have this ratio:
(new area)/(old area) = 1818/202 = 9

and how 3^2 = 9. This is no coincidence. The old surface area is multiplied by 3^2 = 9 to get the new surface area.

If you asked "What would the surface area of the prism be if each dimension were quadrupled?", then you would multiply the old surface area by 4^2 = 16 to get the new surface area