The surface area of the shape made of 6 cubes is [tex]\boxed{726{\text{ c}}{{\text{m}}^2}}.[/tex]
Further explanation:
The formula for the surface area of the cube can be expressed as follows,
[tex]\boxed{{\text{Surface Area}} = {{\left( {{\text{Side}}} \right)}^2}}[/tex]
Given:
The options are given as follows.
A. [tex]11{\text{ c}}{{\text{m}}^2}[/tex]
B. [tex]66{\text{ c}}{{\text{m}}^2}[/tex]
C. [tex]726{\text{ c}}{{\text{m}}^2}[/tex]
D. [tex]1331{\text{ c}}{{\text{m}}^2}[/tex]
Explanation:
The side of the cube is [tex]11{\text{ cm}}.[/tex]
The surface area of one box can be obtained as follows,
[tex]\begin{aligned}{\text{Surface area}}&= {\left( {11} \right)^2}\\&= 121{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
There are 6 cubes in the given shape.
The surface area of the shape can be obtained as follows,
[tex]\begin{aligned}{\text{Surface Area of shape}}&= 6\times 121\\&= 726{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]
The surface area of the shape made of 6 cubes is [tex]\boxed{726{\text{ c}}{{\text{m}}^2}}.[/tex]
Option A is not correct.
Option B is not correct.
Option C is correct.
Option D is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Mensuration
Keywords: cube, cuboid, surface area, volume of the cube, picture shows cube, side of the cube, total surface area, curved surface area.