Question

Find the lateral surface area ofthe following prism:5 cm4cm5 cm6 cm8 cm

Answer 1

128 centimeters squared.

Explanation:

The lateral surface area of any prism is the area of all its cross-sectional faces.

In the given triangular prism, the cross-section is the triangle. Thus, we exclude the triangular faces from the calculation.

The other three faces are rectangles with dimensions:

• 8cm by 6cm

,

• 8cm by 5cm

,

• 8cm by 5cm

Add up the areas:

`\begin{gathered} LSA=8*6+8*5+8*5 \\ =48+40+40 \\ =128\;cm^2 \end{gathered}`

The lateral surface area is 128 centimeters squared.