Find the surface area of the prism.

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

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4t+3c=$81.00 10t+3c=$135.00

muminat

$\left \{ {{4t+3c=81.00\:(I)} \atop {10t+3c=135.00\:(II)}} \right.$
Simplify the first equation by (-1)
 $\left \{ {{4t+3c=81.00\:*(-1)} \atop {10t+3c=135.00\:\:\:\:\:}} \right.$
Once simplified, cancel the opposing terms.
 $\left \{ {{-4t-\diagup\!\!\!\!3c=-81.00} \atop {10t+\diagup\!\!\!\!3c=135.00}} \right.$
Now find the value of "t".
$\left \{ {{-4t=-81.00} \atop {10t=135.00}} \right.$
-------------------------------
$6t = 54.00$
$t = \frac{54.00}{6}$
$\boxed{\boxed{t = 9.00}}\end{array}}\qquad\quad\checkmark$

Now find the value of "c", replace the found value of "t" in the first equation:
$4t+3c=81.00\:(I)$
$4*9+3c=81.00$
$36 + 3c = 81.00$
$3c = 81.00 - 36$
$3c = 45.00$
$c = \frac{45.00}{3}$
$\boxed{\boxed{c = 15.00}}\end{array}}\qquad\quad\checkmark$

Answer:
The values of "t" and "c" satisfying the linear system are successively: $ 9.00 and $ 15.00

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