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Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid. - Mathematics

Short Note

Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.

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Solution

Side of each cube (a) = 4 cm

We need to find the surface area of the resulting cuboid

Dimensions of the resulting cuboid,

Length (l) = 3a

Breadth (b) = a

Height (h) = a

Surface area of the cuboid,

`=2(lb + bh + hl)`

`=2[(3a) a +(a)(a) +a(3a)]`

`=2(7a^2)`

`=14a^2`

`= 14 xx 4^2`

`=224 cm^2`

Surface area of the cuboid is `224  cm^2`.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Q 6 | Page 35
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