Question

a cuboid has total surface area 50 square m and lateral surface area is 36 sq cm . find the area of it's base.

Answer 1

1

Secondary SchoolMath 5 points

A cuboid has a total surface area is 50 square m and its lateral surface area is 36 square m find area of its base

Ask for details Follow Report by Gautam71 02.01.2018

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Ishika21garg

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Total surface area of cuboid =2*(length *breadth+breadth *height + height *length)=50 square m....... (1)

Lateral surface area of cuboid =2(breadth *height + height *length) =30 square m.......... (2)

subtracting (2) from (1)

2(length *breadth) =14 square m

L * B=14÷2 square m

=7 square metre

Area of the base of cuboid =7 square metre

Answer 2

The total surface area of a cuboid is nothing but the areas of all the faces of the object.

Now, lateral surface area means only the lateral(side) walls area.

So, the areas excluded from lateral surface area are the base and roof, which ofcourse have same areas....

So we write it as,

$(lsa) + (area \: of \: base) \times 2 = (tsa)$

So,

$36 + 2x = 50$

$2x = 14$

$x = 7$

So the base area is 7 Sq.mts.