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Viktor [21]
3 years ago
7

Find the surface area of the right triangular prism shown ​

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

The surface area of the triangular prism is 144 cm²

<u>Explanation:</u>

Given:

Base of the triangle = 4

Height of the triangle = 3

Hypotenuse of the triangle = 5

Length of the prism = 11

Surface area of the rectangular prism = ?

Surface area, A = ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}

On substituting the value, we get:

A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2

Therefore, the surface area of the triangular prism is 144 cm²

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What is the arc length of PQ?
almond37 [142]

Answer:

43.9823

Step-by-step explanation:

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3 0
2 years ago
9. The figure shows a rectangle with its length and
lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

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length=35cm

breadth=2x-3

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=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0
3 years ago
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3 years ago
Use the expression 14X + 28Y + 21.. what is the greatest common factor
12345 [234]

Answer:

1

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4 0
3 years ago
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