Mathematics, 28.03.2020 23:49 erinmcdonaldr6860

Find the surface area of each. Show your work

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Answer from: Lunablum

The surface area of the given right angled triangular prism is 60 square centimeters ( $cm^{2}$ ).

Step-by-step explanation:

The given is,

Right angled triangular prism

Step:1

Surface area of triangular prism,

Surface area of prism = Sum of area of each sides .........(1)

Step:2

Area of Triangular face,

$= \frac{1}{2}(base)(height)$

$= \frac{1}{2} (3)(4)$

$=\frac{1}{2} (12)$

$= 6 cm^{2}$

In right angled triangular have two triangular faces,

= (2)(6)

$=12 cm^{2}$

Step:3

Area of sloping rectangular face,

=lb

=(4)(5)

$=20 cm^{2}$

Step:4

Area of back side =(4)(3)

$=12cm^{2}$

Step:5

Area of bottom side =(4)(4)

$=16cm^{2}$

From the equation (1),

=12+20+12+16

$= 60cm^{2}$

Result:

The surface area of the given right angled triangular prism is 60 square centimeters ( $cm^{2}$ ).

Answer from: Quest

step-by-step explanation:

Answer from: Quest

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Find the surface area of each. Show your work
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