Question

5 if the dimensions of a rectangular prism are 3 cm, 4 cm, and 10 cm, then its surface area is: square centimeters.

Explanation:

Step1: Recall surface area formula

The surface area $SA$ of a rectangular prism with length $l$, width $w$, height $h$ is:
$$SA = 2(lw + lh + wh)$$

Step2: Substitute given values

Here, $l=3$ cm, $w=4$ cm, $h=10$ cm:
$$SA = 2((3 \times 4) + (3 \times 10) + (4 \times 10))$$

Step3: Calculate inner terms

Compute each product inside the parentheses:
$$SA = 2(12 + 30 + 40)$$

Step4: Sum inner values

Add the terms inside the parentheses:
$$SA = 2(82)$$

Step5: Compute final result

Multiply to get the surface area:
$$SA = 164$$

Answer:

164 square centimeters