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Use the net below to calculate the surface area of this triangular prism.
End
(5)
O
.
i
2
Show grid
0

Use the net below to calculate the surface area of this triangular prism. $\newline$ End $\newline$ ( $5$ ) $\newline$ O $\newline$ . $\newline$ i $\newline$ $2$ $\newline$ Show grid $\newline$ $0$

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Roots of integers

Full solution

Q. Use the net below to calculate the surface area of this triangular prism.

\newline

End

\newline

(

5

)

\newline

O

\newline

.

\newline

i

\newline

2

\newline

Show grid

\newline

0

Identify Shapes: Identify the shapes that make up the surface area of the prism: two triangular ends and three rectangular sides.
Calculate Triangle Area: Calculate the area of one triangular end. Area of a triangle = $\frac{1}{2} \times \text{base} \times \text{height}$ . Assuming the base and height of the triangle are both $5$ units, Area = $\frac{1}{2} \times 5 \times 5$ .
Calculate Total Triangle Area: Perform the calculation for the triangular area: $\frac{1}{2} \times 5 \times 5 = 12.5$ square units.
Calculate Rectangular Sides Area: Since there are two triangular ends, multiply the area of one triangle by $2$ : $2 \times 12.5 = 25$ square units.
Add Rectangular Sides Areas: Calculate the area of the three rectangular sides. Assuming the length of the prism is $l$ , the areas are: $5 \times l$ , $5 \times l$ , and $5 \times l$ for each of the three sides.
Calculate Total Surface Area: Add the areas of the rectangular sides: $5 \times l + 5 \times l + 5 \times l = 15 \times l$ square units.
Calculate Total Surface Area: Add the areas of the rectangular sides: $5 \times l + 5 \times l + 5 \times l = 15 \times l$ square units. Add the areas of the triangular ends and the rectangular sides to get the total surface area: $25 + 15 \times l$ square units.

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