Surface Area of Right Rectangular Prisms Practice

Question

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Question
Calculate the surface area of a right rectangular prism. Each edge length is 15 ft.(1 point)

Answer 1

To calculate the surface area of a right rectangular prism, you can use the formula:

\[ \text{Surface Area} = 2(lw + lh + wh) \]

where:

• \(l\) is the length,
• \(w\) is the width,
• \(h\) is the height.

In this case, each edge length is 15 ft, so we can assign:

• \(l = 15\) ft,
• \(w = 15\) ft,
• \(h = 15\) ft.

Now, substituting these values into the surface area formula:

\[ \text{Surface Area} = 2(15 \times 15 + 15 \times 15 + 15 \times 15) \]

Calculating each product:

\[ 15 \times 15 = 225 \]

Then, we have:

\[ \text{Surface Area} = 2(225 + 225 + 225) = 2(675) = 1350 \]

The surface area of the right rectangular prism is:

\[ \text{Surface Area} = 1350 \text{ ft}^2 \]