The formula for finding total surface area of cuboid is a)2 (lb x bh x...

Lets break the figure -
It has 6 surfaces.
Area of bottom surface = L * B
Area of Top Surface = L * B
Area of Right side surface = B * H
Area of Left Side surface = B * H
Area of front Surface = H * L
Area of Back surface = H * L
Total surface area of Cuboid = sum of all the surfaces.
=> (Bottom surface area + Top surface area + Right side surface area + Left side surface area + front side surface area
back side surface area)
=> (LB + LB + BH + BH + HL + HL)
=> (2LB + 2BH + 2HL)
hence option B is correct.
View all questions of this testThe formula for finding total surface area of cuboid is a)2 (lb x bh x...
Explanation:
A cuboid is a three-dimensional solid shape that has six rectangular faces. To find the total surface area of a cuboid, we need to find the area of each face and add them together.
Formula:
The formula for finding the total surface area of a cuboid is:
2(lb + bh + hl)
where l, b, and h are the length, width, and height of the cuboid.
Derivation:
The cuboid has six faces, and each face is a rectangle. The total surface area of the cuboid is the sum of the areas of all six faces. We can find the area of each face by multiplying its length and width.
- Area of the top and bottom faces = lb
- Area of the front and back faces = bh
- Area of the left and right faces = hl
Therefore, the total surface area of the cuboid is:
2(lb + bh + hl)
Example:
Let's take an example to understand this formula.
Suppose we have a cuboid with length l = 4 cm, width b = 3 cm, and height h = 5 cm.
Using the formula, we can find the total surface area of the cuboid as:
2(4x3 + 3x5 + 5x4) = 2(12 + 15 + 20) = 2(47) = 94 cm²
Therefore, the total surface area of the given cuboid is 94 cm².
Conclusion:
The formula for finding the total surface area of a cuboid is 2(lb + bh + hl). It is derived by finding the sum of the areas of all six faces of the cuboid. The formula can be used to find the total surface area of any cuboid, given its length, width, and height.
The formula for finding total surface area of cuboid is a)2 (lb x bh x...
Correct answer is 'b'