The volume of a wall whose height is 10 times its width and whose length is 8 times its height is 51...........

Quantitative Aptitude (CGL) Mensuration 3D

The volume of a wall whose height is 10 times its width and whose length is 8 times its height is 51.2 m² . What is the cost(in Rs)

of painting the wall on one side at the rate of Rs100/ m² ?

This questions was previously asked in

SSC CGL 20th August 2021 Shift-2

12800

12750

12250

12500

Let's break down the problem:

- Let the wall's width be W.

- Height (H) = 10W.

- Length (L) = 8H = 8 × 10W = 80W.

- Volume = Length × Height × Width = L × H × W = 80W × 10W × W = 800W³.

- Given: Volume = 51.2 m³ ? 800W³ = 51.2 ? W³ = 51.2/800 = 0.064 ? W = 0.4 m.

- Height = 10W = 4 m.

- Length = 80W = 32 m.

- Area (one side) = Length × Height = 32 × 4 = 128 m².

- Cost = 128 m² × Rs 100/m² = Rs 12,800.

Options:

1. 12800

2. 12750

3. 12250

4. 12500

Correct answer:

Option:1 - 12800

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