Question

*How much does it cost to paint a cuboidal wooden box of 2 m length, 1 m width and 1 m height at the rate of Rs 40 per sqm.?* 1️⃣ Rs 400 2️⃣ Rs 800 3️⃣ Rs 240 4️⃣ Rs 480

Answer 1

Answer:

Rs 40

This is the right option

Answer 2

Given:

A cuboidal wooden box of 2 m length, 1 m width and 1 m height

To find:

How much does it cost to paint a cuboidal wooden box at the rate of Rs 40 per sqm.?

Solution:

We know,

$\boxed{\bold{Total\:surface\:area\:of\:a \: cuboid = 2 (lb + bh + hl)}}$

The dimensions of the cuboidal wooden box:

Length, l = 2 m

Breadth, b = 1 m

Height, h = 1 m

∴ The total surface area of the cuboidal wooden box that is to be painted is,

= $2 (lb + bh + hl)$

= $2[ (2\times 1) + (1 \times 1) + (1 \times 2)]$

= $2[ 2 + 1 + 2]$

= $2\times 5$

= $\bold{10\:m^2}$

Now,

If the cost of painting 1 m² surface of the wooden box = Rs. 40

Then,

The cost of painting a 10 m² surface will be,

= Rs. 40/m² × 10 m²

= Rs. 400 ← option 1

Thus,  it costs Rs. 400 to paint a cuboidal wooden box of 2 m length, 1 m width and 1 m height at the rate of Rs 40 per sqm.

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