Question

the height of rectangular prism is 30 cm and the volume is 480 cm³. if the base is a square, find the surface area of the prism. square centimeters

Explanation:

Step1: Find base area

Volume formula: $V = B \times h$, so $B = \frac{V}{h}$
$B = \frac{480}{30} = 16$ $\text{cm}^2$

Step2: Find base side length

Base is square: $B = s^2$, so $s = \sqrt{B}$
$s = \sqrt{16} = 4$ $\text{cm}$

Step3: Calculate surface area

Surface area formula: $SA = 2B + 4(s \times h)$
$SA = 2(16) + 4(4 \times 30) = 32 + 480 = 272$ $\text{cm}^2$

Answer:

272 square centimeters