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Find the lateral area for the given prism.1,092 cm^2998 cm^21,272 cm^2870 cm^2

Find the lateral area for the given prism.1,092 cm^2998 cm^21,272 cm^2870 cm^2-example-1

2 Answers

4 votes

Answer: 1092 cm2.

Explanation:

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:

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:

The lateral area of the given prism is

1092 cm2.

User Mital Joshi
by
8.3k points
6 votes

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:


LA=PH

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:


\begin{gathered} LA=PH \\ LA=2(L+W)* H \\ LA=2(15+6)*26 \\ LA=2(21)*26 \\ LA=1092 \end{gathered}

The lateral area of the given prism is

1092 sq. cm.
User Manuna
by
8.7k points
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