Question

prism
integers: es1
surface area = ____

Explanation:

Step1: Identify the faces of the prism

The rectangular - prism has 6 faces. Opposite faces have the same area.

Step2: Calculate the area of the three pairs of faces

The three pairs of faces have areas:

• Pair 1: $16\times5$ and $16\times5$. The area of this pair is $2\times(16\times5)=2\times80 = 160$ square - feet.
• Pair 2: $16\times14$ and $16\times14$. The area of this pair is $2\times(16\times14)=2\times224 = 448$ square - feet.
• Pair 3: $5\times14$ and $5\times14$. The area of this pair is $2\times(5\times14)=2\times70 = 140$ square - feet.

Step3: Sum up the areas of all pairs

The surface area $S$ of the rectangular prism is $S=160 + 448+140=748$ square - feet.

Answer:

748 square feet