Question

A rectangular solid measures 24 cm x 12 cm x 2 cm. What is its total surface area? Select one: O 964 square centimeters O 288 square centimeters O 864 square centimeters O 720 square centimeters

Answer 1

`\text{area}=720\text{ square centimeteres}`

Step-by-step explanation

Step 1

to find the total surface area we have to divide the solid in all its faces, so we got 6 rectanlges

`\begin{gathered} \text{rectangle}_{1(\text{blue}\cdot\text{red)}}=24\cdot12=288 \\ \text{rectangle}_(2(blue\cdot purple))=24\cdot2=48 \\ \text{rectangle}_(2(red\cdot purple))=12\cdot2=24 \end{gathered}`

Step 2

the tota are would be, 2 times the sum

`\text{area}=2(rec\tan gle_1+rec\tan gle_2+rec\tan gle_3)_{}`

replace

`\begin{gathered} \text{area}=2(288+48+24) \\ \text{area}=2(360) \\ \text{area}=720\text{ } \end{gathered}`

so, the answer is

`\text{area}=720\text{ square centimeteres}`

I hope this helps you