Question

The cost of painting the surface of a solid cuboid of dimensions 40cm*36cm*x cm at ₹20 per 100 square centimeter is ₹1032. what is the value of x?

Answer 1

To find the value of x, we can set up an equation using the formula for the surface area of a cuboid. Solving the equation will give us the value of x.

Step-by-step explanation:

Let's start by converting the given dimensions to meters. The dimensions are 0.4m, 0.36m, and x meters.

The cost of painting the surface area of the cuboid is given as ₹20 per 100 square centimeters. To find the cost, we need to calculate the surface area in square meters and then multiply it by the cost per square meter.

The total cost of painting the surface area is ₹1032. By plugging in the values, we get the equation (0.4 * 0.36 * 2) + (0.4 * x * 2) + (0.36 * x * 2) = 1032.

Simplifying the equation, we have 0.288 + 0.8x + 0.72x = 1032, which gives us 1.52x = 1032 - 0.288. Solving for x gives us x ≈ 679.606, rounded to 3 decimal places.

Answer 2

To find the value of x, we need to calculate the total cost of painting the surface of the cuboid using the dimensions and cost per square centimeter. By setting up and solving an equation, we find that the value of x is 30.

Step-by-step explanation:

To find the value of x, we need to first calculate the total cost of painting the surface of the cuboid. The given dimensions are 40cm * 36cm * x cm.

The area of each face of a cuboid is given by the formula: length * width.

So, the total surface area of the cuboid is 2 * (40 * 36 + 36 * x + 40 * x) = 2 * (1440 + 36x + 40x) = 2880 + 76x.

Since the cost of painting 100 square centimeters is ₹20, the cost of painting 2880 + 76x square centimeters is ₹1032.

Therefore, we can set up the equation: (2880 + 76x) * 20/100 = 1032.

Solving this equation, we get: 576 + 15.2x = 1032. Subtracting 576 from both sides gives us 15.2x = 456. Finally, dividing both sides by 15.2, we find that x = 30.