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3 years ago

In the net of a rectangular prism, each square of the grid is 1 square meter. What is the surface area of the prism?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer: 172 square meter square

Step-by-step explanation:

Area of Rectangular prism is given as :

A = 2 (wl + hl + hw)

Where :

w = width

h = height

l = length

Calculating the area of rectangular prism given , the shape given is divided into six segments , each segment is a triangle , all we need to do is to find the area of each segment and add.

Area of the first segment = 7 x 8 = 56 ( there are 7 boxes horizontally and 8 boxes vertically)

second segment = 2 x 8 = 16

third segment = 7 x 8 = 56

fourth = 2 x 8 = 16

fifth = 2 x 7 = 14

sixth segment = 2 x 7 = 14

Therefore , area of the rectangular prism will be

A = 56 + 16 +56 + 16 + 14 + 14

A = 172

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Answer:

the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

Step-by-step explanation:

To consider the autonomous system

$x' =x (12 -x - \dfrac{1}{2})$

$y' = y( 20 -y - x)$

The critical points of the above system can be derived by replacing x' = o and y' = 0.

i.e.

$x' =x (12 -x - \dfrac{y}{2}) = 0$

$\dfrac{x}{2} (24 -2x - y) = 0$

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Also

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y( 20 -y - x) = 0

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By solving (1) and (2);

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Suppose x = 0 from (2)

y = 20

Also;

if y = 0 from (1)

x = 12

Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

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3 years ago

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