Question

what is the surface area? image of a rectangular prism with length 8 cm, width 3 cm, height 4 cm square centimeters

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism is given by:
$$S = 2(lw + lh + wh)$$
where \( l = 9 \, \text{cm} \), \( w = 3 \, \text{cm} \), \( h = 4 \, \text{cm} \)

Step2: Calculate each pair product

• \( lw = 9 \times 3 = 27 \)
• \( lh = 9 \times 4 = 36 \)
• \( wh = 3 \times 4 = 12 \)

Step3: Sum the products

$$27 + 36 + 12 = 75$$

Step4: Multiply by 2

$$S = 2 \times 75 = 150$$

Answer:

150 square centimeters