Question

Daniel painted the outside of the cabinet of measure of 2m×4m×3.5m . How much surface area did he cover if he painted all except the bottom of the cabinet ​

Answer 1

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Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Surface area:

The surface area of a solid is the sum of the areas of the plane or curved faces of the solid.

It is measured in square units such as square centimetre (cm²) and square metre (m²).

Surface area of cuboid is the sum of the surface areas of its six rectangular faces.

Surface Area of Cuboid is =2(lb + lh + bh)

By surface area of a cuboid we mean the total surface area.

The sum of the areas of 4 vertical faces of a cuboid is called its lateral surface area.

The lateral surface area or the area of the four walls of the cuboid .

Area of the four walls = 2 (l +b) h

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Solution:

Given:

Length of cabinet(l) = 2 m, Breadth of(b) = 1 m

Height of cabinet (h)= 1.5 m

Surface area of cabinet= area of top + lateral surface area

= lb + 2(l+b)h

Surface area of cabinet= lb + 2(l+b)h

= 2×1+2(2+1)×1.5

= 2+2(3)× 1.5

= 2+ 6 ×1.5

= 2+ 9

= 11 m²

Hence, the required surface area of cabinet is 11m²

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