Question

Find the surface area of a cube with edges, 5.88 cm long

Answer 1

`\text{Given: }\\\text{length(l) = 5.88cm}\\\text{Surface area of cube = 6l}^2=6(5.88)^2=207.4464\text{cm}^2`

Step-by-step explanation:

`\text{Surface area is the area of outermost layer of a body. For cube, the outermost}\\\text{layer contains six squares. So, the surface area of the cube will be the sum of}\\\text{area of all these squares. If 'a' is the length of each squares, then the area of}\\\text{each square will be a}^2.\text{\ As there are 6 squares in cube, }\\\text{Surface area of cube = 6a}^2`

`\text{We may use the same concept to find the surface area of cuboid. The}\\\text{outermost part of a cuboid contains 6 rectangles. So the surface area of the}\\\text{cuboid is the sum of area of all these rectangles. There are two rectangles}\\\text{with area l x h, two with area w x h and two rectangles with area w x b.}\\\text{Here,\ l, w and h are the length, breadth and height of the cuboid respectively.}`

`\text{So the surface area of cube = lb + lb + lh + lh + bh + bh}\\\text{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \ \ \ \ \ \ \ \ = 2lb + 2lh + 2bh = 2(lb +bh +lh)}\\\text{In cube, l = b = h.}`

`\text{The surface area is also called }\bold{Total\ Surface\ Area \ (TSA).}`

`\text{Have a look at the figures below to understand this carefully.}`