Final answer:
The lateral area of the prism is 2500 square inches.
Step-by-step explanation:
The formula for the lateral area (LA) of a rectangular prism is given by:
LA = 2 x (l + w) x h
where:
- l is the length of the prism,
- w is the width of the prism,
- h is the height of the prism.
In your case, the dimensions are:
- l = 24 inches
- w = 26 inches
- h = 25 inches
Now plug these values into the formula:
LA = 2 x (24 + 26) x 25
LA = 2 x 50 x 25
LA = 2500 in^2
So, the lateral area of the prism is 2500 square inches.