Question

The areas of three adjacent faces of a cuboid
are x, y and z. Find the total surface area of the cuboid.
​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given:

The areas of three adjacent faces of a cuboid are x, y, and z.

To find:

The total surface area of the cuboid.

Solution:

The total surface area of the cuboid is 2(x + y + z).

We can solve the above mathematical problem using the following approach.

Let the dimensions of the cuboid be a, b, and c.

We know that, Area of a rectangle = length × breadth.

Each side of a cuboid is a rectangle, so we get:

x=ab

y=bc

z=ca

Total Surface Area of a Cuboid (TSA) = 2 (ab + bc + ca) square units.

On substituting, we get:

TSA = 2(x + y + z).

Therefore, the total surface area of the cuboid is 2(x + y + z).