6. A rectangular prism has the dimensions 8 feet by 3 feet by 5 feet. What is the surface area of the prism?

Question

UpStudy AI · Accepted Answer

To find the surface area of a rectangular prism, we can use the formula:

$$
SA = 2(lw + lh + wh)
$$

where:
- $$ l $$ is the length,
- $$ w $$ is the width,
- $$ h $$ is the height.

From the problem, we have:
- $$ l = 8 $$ feet,
- $$ w = 3 $$ feet,
- $$ h = 5 $$ feet.

Now, let's calculate each term in the formula step by step.

1. Calculate $$ lw $$:
   $$
   lw = 8 \times 3 = 24
   $$

2. Calculate $$ lh $$:
   $$
   lh = 8 \times 5 = 40
   $$

3. Calculate $$ wh $$:
   $$
   wh = 3 \times 5 = 15
   $$

Now, substitute these values back into the surface area formula:

$$
SA = 2(24 + 40 + 15)
$$

4. Calculate the sum inside the parentheses:
   $$
   24 + 40 + 15 = 79
   $$

5. Finally, calculate the surface area:
   $$
   SA = 2 \times 79 = 158
   $$

Thus, the surface area of the rectangular prism is $$ 158 $$ square feet.
The surface area of the rectangular prism is 158 square feet.

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