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Three cubes of side 10 cm are joined end to end to form a cuboid as given in the figure. Find is total surface area.

Three cubes of side 10 cm are joined end to end to form a cuboid as given in the figure-example-1
User Jkalden
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1 Answer

21 votes
21 votes

Solution:

The cuboid is a solid-shaped figure formed by six faces. A cuboid is a simple figure. It has three dimensions - width, length, and height. Thus, the cuboid is a parallelepiped. Now, the surface area of the parallelepiped is the sum of the areas of all sides, that is:


S\text{ =2(}lw+lh+wh\text{)}

where

l is the lenght

w is the width

and

h is the height

According to the figure given in the problem, we have that:

l = 30

w = 10

h = 10

thus, the surface area of the given cuboid would be:


\begin{gathered} S\text{ =2(}lw+lh+wh\text{)} \\ \text{ = 2((}30\cdot10\text{)+(30}\cdot10\text{)+(10}\cdot10\text{))=}1400 \end{gathered}

So that, we can conclude that the correct answer is:


1400

User Lfjeff
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