Two identical Cubes of side 7cm are Joined end to end. Find the TSA
& LSA of new resulting Cuboid
Answers
When the two cubes joined, the shape is now a cuboid with a high of 7 cm, a width of 7 com and a length of 14 cm.
The lateral surface area is: $$A_L = 2 l* h +2 w * h $$
Plugging the values of the length, width and height in the formula:$$\begin{align} A_L& = 2 l* h +2 w * h \\ A_L& = 2(14 cm * 7 cm) +2 (7 cm *7 cm) \\ A_L& = 2 *98 cm^2 + 2 *49 cm^2 \\ A_L& = 196 cm^2 +98 cm^2 \\ A_L &= 294 cm^2 \end{align} $$
Total Surface area is twice the base are plus lateral surface are. $$A_T = 2 A_B+ A_L $$
The base is a rectangular of 14 cm by 7 cm, so plugging these numbers is the formula:
$$\begin{align} A_T &= 2 (14 cm * 7 cm) + 294 cm^2 \\ A_T& = 196 cm^2 +294 cm^2 \\ A_T & = 490 cm^2 \end{align} $$
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What is a Cuboid Shape? - Definition, Area & Properties
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Chapter 7 / Lesson 12
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