Question

calculate the surface area of a rectangular solid that measures 6.5 cm in length, 3.3 cm in width and 2.7 cm in height. express your answer using the correct units.

sa = 12.5 cm2
sa = 95.82 cm2
sa = 57.92 cm2
sa = 95.82 cm3

Explanation:

Step1: Recall surface - area formula

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

Step2: Substitute the given values

Given $l = 6.5$ cm, $w = 3.3$ cm, and $h = 2.7$ cm.
First, calculate $lw$: $lw=6.5\times3.3 = 21.45$ $cm^{2}$.
Then, calculate $lh$: $lh = 6.5\times2.7=17.55$ $cm^{2}$.
Next, calculate $wh$: $wh = 3.3\times2.7 = 8.91$ $cm^{2}$.

Step3: Calculate the sum inside the parentheses

$lw+lh + wh=21.45 + 17.55+8.91=47.91$ $cm^{2}$.

Step4: Multiply by 2

$SA = 2\times47.91=95.82$ $cm^{2}$.

Answer:

SA = 95.82 cm2