Question

the dimensions of a cuboid are in the ratio 3:2:2 and the lateral surface area of cuboid is 200m2.the outer surface of the cuboid is painted with coloured enamel at the rate of RS.10 per m2.Find the total cost of painting the outer surface of the cuboid.

Answer 1

Answer:

Step-by-step explanation:let the dimensions of cuboid be x.

Then, length=3x

Breadth=2x

Height=2x

A/q

2(l+b)h=200

2×(3x+2x)2x=200

20x=200

X=200÷20=10

Now,

Length=3x=3×10=30m

Breadth=2x=2×10=20m

Height=2x=2×10=20m

T.s.a of cuboid=2(30×20+20×20+20×30)

=3200m2

Cost=10×3200=₹32000ans

Answer 2

Given: The dimensions of a cuboid are in the ratio 3:2:2 and the lateral surface area of cuboid is 200m2.the outer surface of the cuboid is painted with coloured enamel at the rate of RS.10 per m2.

To find: The total cost of painting the outer surface of the cuboid.

Solution: The total cost of painting the outer surface of the cuboid is Rs. 2000.

According to the question, the lateral surface area of the cuboid is given as 200 m². Also, the cost of painting the outer surface of the cuboid is Rs. 10 per metre square. In order to calculate the total cost of painting the outer surfaces of the cuboid, the calculations are done as shown below.

$200 * 10 = 2000$

Therefore, the total cost of painting the outer surface of the cuboid is Rs. 2000.