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grigory [225]
3 years ago
7

Find the lateral and total surface area of the prism.

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

Solution:

Length of the prism = 13 in

Width of the prism = 10 in

Height of the prism = 20 in

Lateral surface area of the prism = 2(l + w)h

                                                       = 2(13 + 10) × 20

                                                       = 2(23) × 20

                                                       = 920 in²

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = Lateral area + 2lw

                                                     = 920 + 2 × 13 × 10

                                                     = 920 + 260

Total surface area of the prism  = 1180 in²

Hence Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

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But the size indicators are not the same. I chose to make them become 12

11

3

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1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

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=

 

41

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12

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=

 

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