Question

1. this rectangular prism is 4 units high, 4 units wide, and 2 units long. what is its surface area? a. 16 square units b. 32 square units c. 48 square units d. 64 square units

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

Step2: Substitute the given values

Given $l = 2$, $w = 4$, and $h = 4$.
$SA=2(2\times4 + 2\times4+4\times4)$.

Step3: Calculate the products inside the parentheses

$2\times4 = 8$, $2\times4 = 8$, and $4\times4 = 16$.
So, $SA = 2(8 + 8+16)$.

Step4: Calculate the sum inside the parentheses

$8 + 8+16=32$.
So, $SA = 2\times32$.

Step5: Calculate the final result

$2\times32 = 64$.

Answer:

D. 64 square units