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Sagot :

Step-by-step explanation:

260 square inches

is the right answer

Answer:

260 in²

Step-by-step explanation:

1) Find the total area of the triangular sides

[tex]A=\frac{1}{2}bh[/tex]

Plug in 10 in as the base and 8 in as the height

[tex]A=\frac{1}{2}(10)(8)\\A=\frac{1}{2}(80)\\A=40[/tex]

Multiply the area by 4 (for the 4 triangular surfaces)

[tex]40*4\\=160[/tex]

Therefore the total area of the triangular sides is 160 in².

2) Find the area of the square base

[tex]A=l^2[/tex]

Plug in 10 as the length

[tex]A=10^2\\A=100[/tex]

Therefore, the area of the square base is 100 in².

3) Add the areas together

100 in² + 160 in²

= 260 in²

Therefore, the surface area of the solid is 260 in².

I hope this helps!

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