Question

The dimensions of a cuboid is 10 x 6 x 4. Find the cost of painting it at
1 per square unit ?

(a) *220
(b) *245
(c) *225
(d) 248
​

Answer 1

The correct option regarding the cost of painting it at 1 per square unit is (d) 248

Given:

The dimensions of a cuboid are 10 x 6 x 4.

To Find:

The cost of painting it at 1 per square unit.

Solution:

To find the cost of painting it at 1 per square unit, we will follow the following steps:

As we know,

A cuboid is a three-dimensional geometry and has three different types of lengths. to paint the object and find out the cost of painting we will first calculate its total surface area to be painted.

So,

The formula for calculating the area of the cuboid =

$2(lb + bh + hl)$

Here, l is the length, b is the breadth and h is the height of the cuboid.

According to the question,

Length = 10 unit

Breadth = 6 unit

Height = 4 unit

Now,

Putting values in the above formula we get,

Area =

$2(10 \times 6 + 6 \times 4 + 4 \times 10) = 2(60 + 24 + 40) = 2 \times 124 = 248 \: {unit}^{2}$

Cost of a painting of 1 Square of unit = 1

So,

The coat of a painting of 248 Square units = 248

Henceforth, the correct option regarding the cost of painting it at 1 per square unit is (d) 248

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