Question

What will be the change in total surface area of a cuboid if its each edge is tripled

Answer 1

the new tsa will become 9 times the original tsa

Answer 2

The total surface area of a cuboid will became 9 times when edge is tripled.

Step-by-step explanation:

To find : What will be the change in total surface area of a cuboid if its each edge is tripled ?

Solution :

The edge of the cuboid are length 'l', breadth 'b' and height 'h'.

Each edge is tripled i.e. 3l, 3b, 3h.

The surface area of the cuboid is $A_1=2(lb+bh+hl)$

Total surface area of a cuboid if its each edge is tripled,

$A_2=2(3l\times 3b+3b\times 3h+3h\times 3l)$

$A_2=2(9lb+9bh+9hl)$

$A_2=9\times 2(lb+bh+hl)$

$A_2=9\times A_1$

Therefore, the total surface area of a cuboid will became 9 times when edge is tripled.

#Learn more

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