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vodka [1.7K]
2 years ago
11

in . 3.5 in 4 9 in 4 in . The triangular prism above has been created with two equilateral triangles and three congruent rectang

les . The height of the triangles is 3.5 inches . Find the surface area of the triangular prism . square inches

Mathematics
1 answer:
Viefleur [7K]2 years ago
7 0

Answer:

122 in²

Step-by-step explanation:

Applying,

S.A =  bh+ bl+bl+bl............. Equation 1

Where S.A = Surface area of the prism, b = base of the triangle, h = height of the triangle, l = lenghth of the prism

From the question,

Given: b = 4 in, h = 3.5 in, l = 9 in

Substitute these values into equation 1

S.A = 4×3.5+9×4+9×4+9×4

S.A = 14+108

S.A = 122 in²

Hence the surface area of the prism is 122 in²

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\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}

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Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

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