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____ [38]
3 years ago
9

I need help What is the surface area of the following figure? A 168 B 192 PLEASE HELP

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

168 in^{2}

Step-by-step explanation:

Area of triangle = bh/2 = 6(4)/2 = 12

Area of side of tent = 6(5) = 30

Area of other side of tent = 30

Area of sides of recangular box = 4(6)(2) = 48

Area of bottom = (6)(6) = 36

Total surface area = 24 + 30 + 30 + 48 + 36 = 168 in^{2}

Juliette [100K]3 years ago
3 0

Answer:

<u>305 in^2</u>

Step-by-step explanation:

First step is always to break up the problem into parts and write out our formulas- in this case, let's solve the easier part first, the bottom rectangular box type shape.

Area of a square or rectangle: A= length * height

Area of a triangle: A = 1/2 * length * height

Each side is 6x2, making each side 12 in^2, times four sides equals 48 in^2

The box also has a bottom, with dimensions of 6x6, equaling 36 in^2. <em>be careful not to include the top, it may be included in this part of the problem that we're splitting up, but it's not in the actual figure</em>.

Next up is the top portion- let's calculate the two triangular sides first. again, A=(1/2)l*h . so, these triangles are (1/2) * 5 * 4 , or 10 in^2 . With two triangular sides that's 20 in^2 total.

And now we only have two sides left, the rectangular parts of the triangular prism. They have a dimension of 5*6, equalling 30, and with two sides its a total of 60 in^2.

All of these sides can be added together:

48 + 36 + 20 + 60 = 305 in^2

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