Question

what is the total surface area of rectangular prism with width of 5, length of 6 and height of 3

Answer 1

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

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

where:
- \(l\) is the length,
- \(w\) is the width, and
- \(h\) is the height.

Given:
- Length \(l = 6\)
- Width \(w = 5\)
- Height \(h = 3\)

Now plug in the values:

\[
\text{Surface Area} = 2(6 \cdot 5 + 6 \cdot 3 + 5 \cdot 3)
\]

Calculating each term:

- \(6 \cdot 5 = 30\)
- \(6 \cdot 3 = 18\)
- \(5 \cdot 3 = 15\)

Now, sum these values:

\[
30 + 18 + 15 = 63
\]

Now, multiply by 2:

\[
\text{Surface Area} = 2 \cdot 63 = 126
\]

Thus, the total surface area of the rectangular prism is \(126\) square units.