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2 years ago

Find the surface area of the prism.

Mathematics

2 answers:

8_murik_8 [283]2 years ago

6 0

Answer:

148^2

Step-by-step explanation:

2(lb+bh+lh) = 2(4*5+5*6+4*6)=148 in^2

hoa [83]2 years ago

5 0

Check the picture below.

as you can see, we have 6 rectangles, so let's get the area of each and sum them up and that's the area of the prism.

$\stackrel{\textit{\large Areas}}{\stackrel{\textit{left and right}}{2(6\cdot 5)}+\stackrel{\textit{front and back}}{2(4\cdot 6)}+\stackrel{\textit{top and bottom}}{2(4\cdot 5)}}\implies 60+48+40\implies 148$

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Problems with steps:

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SOLVED !

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<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

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Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

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For the hypotenuse