The lateral area of a rectangular prism is the area of all the sides (excluding top and bottom).
This is a rectangular prism with dimensions:
Length (L) = 15 cm
Width (W) = 6 cm
Height (H) = 26 cm
The formula for the lateral area of a rectangular prism is:
[tex]LA=PH[/tex]
Where
LA is the Lateral Area
P is the Perimeter of the base [ P = 2(L+W) ]
H is the height of the prism
Let's substitute the given information and figure out the lateral area. Steps shown below:
[tex]\begin{gathered} LA=PH \\ LA=2(L+W)\times H \\ LA=2(15+6)\times26 \\ LA=2(21)\times26 \\ LA=1092 \end{gathered}[/tex]
The lateral area of the given prism is
1092 sq. cm.
