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3 years ago

What’s the surface area of the prism in square inches? A.300 B.360 C.390 D.460 helpppppp

Mathematics

2 answers:

butalik [34]3 years ago

5 0

Answer:

2) 360 square inches

Step-by-step explanation:

First of all we have to verify that the base triangle is a right triangle

For this we use Pythagoras

h² = l1² + l2²

13² = 12² + 5²

169 = 144 + 25

169 = 169

Equality is fulfilled by what is a right triangle

Now we need to calculate the area of the triangle

a = (12 in * 5 in) / 2

a = 60in² / 2

a = 30in²

Now we have to calculate the 3 areas of the rectangles

a1 = 10in * 13 in

a1 = 130in²

a2 = 10 in * 12 in

a2 = 120in²

a3 = 10 in * 5 in

a3 = 50in²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

130in² + 120in² + 50in² + 2 * 30in²

360in²

The surface area of the prism is 360in²

iogann1982 [59]3 years ago

3 0

Answer:

360 is correct

Step-by-step explanation:

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