1 Answer

CJBS · Answer 1 · 2021-09-12T17:06:48+0000

Answer:

$a.\ \ \ A=684\ m^2$

$b.\ \ \ A=130.2 \ km^2$

Explanation:

a. Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$Area=2((1)/(2)bh), b=9, h=12\\\\=2* (1)/(2)* 9* 12\\\\=108\ m^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=15* 16+9* 16+16* 12\\\\=576\ m^2$

#We sum the areas to find the total surface areas:

$A=\sum{Areas_i}\\\\=108+576\\\\=684\ m^2$

Hence, the prism's surface area is
$684\ m^2$

b.Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$A=2* (1)/(2)bh,\ b=12, h=4.1\\\\=2* 0.5* 12* 4.1\\\\=49.2 \ km^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=5* 3+3* 10+12* 3\\\\=81\ km^2$

#We sum the areas to find the total surface areas:

$A=A_r+A_t\\\\=81+49.2\\\\=130.2 \ km^2$

Hence, the prism's surface area is
$130.2 \ km^2$

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