Question

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Answer 1

Answer:

$360\ cm^2$

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

$A = l * w$

$A = 10\ cm * 12\ cm$

$A = 120\ cm^2$

Step 2:  Determine the area of the back rectangle

$A = l * w$

$A = 10\ cm * 5\ cm$

$A = 50\ cm^2$

Step 3:  Determine the area of the top rectangle

$A = l * w$

$A = 10\ cm * 13\ cm$

$A = 130\ cm^2$

Step 4:  Determine the area of the triangle

$A = \frac{h*b}{2}$

$A = \frac{5\ cm * 12\ cm}{2}$

$A = \frac{60\ cm^2}{2}$

$A = 30\ cm^2$

Step 5:  Determine the surface area

$120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)$

$360\ cm^2$

Answer: $360\ cm^2$