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A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain your reasoning. (Tell what math you did and why.) 2 cm 2 cm 5 cm

User Vadzim
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1 Answer

3 votes

48cm^2

Step-by-step explanation

Step 1

to find the total surface area we need to add the area of the six rectangles

Step 1

for rectangle 1 and rectangle 2


\begin{gathered} \text{rectangle}1=\text{rectangle}2 \\ \text{area}=2\text{ cm }\cdot2cm=4cm^2 \\ \\ \end{gathered}

now, for rectangles 3 and 4


\begin{gathered} \text{rectangle}3=\text{ rectangle4} \\ \text{Area}=2\text{ cm}\cdot\text{ 5 cm} \\ \text{Area}=10cm^2 \end{gathered}

finally, for rectangle 5 and rectangle 6


\begin{gathered} \text{rectangle}5=\text{rectangle}6 \\ \text{Area}=2\text{ cm}\cdot5\text{ cm} \\ \text{Area}=10cm^2 \end{gathered}

Step 2

find the total surface area


\begin{gathered} \text{total}=\text{Arec}1+\text{Arec2}+\text{Arec3}+\text{Arec4}+\text{Arec5}+\text{Arec}6 \\ \text{replacing} \\ \text{total}=4+4+10+10+10+10 \\ \text{total}=48cm^2 \end{gathered}

I hope this helps you

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area-example-1
User Realnot
by
7.5k points

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