Question

select the correct answer from each drop - down menu. a metronome is shown. the base edges are 9 centimeters and 11 centimeters, and the height is 20 centimeters. which shape best models the image and what is its approximate surface area? round your answer to the nearest hundred. the best model for the metronome is a square prism. the approximate surface area is square centimeters.

Explanation:

Step1: Identify the formula for surface - area of a rectangular prism

The formula for the surface area of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, assume $l = 11$ cm, $w = 9$ cm, and $h = 20$ cm.

Step2: Calculate the products inside the parentheses

$lw=11\times9 = 99$, $lh=11\times20 = 220$, $wh=9\times20 = 180$.

Step3: Find the sum inside the parentheses

$lw + lh+wh=99 + 220+180=499$.

Step4: Multiply by 2

$SA = 2\times499=998\approx1000$ square centimeters.

Answer:

1000