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JAMB Mathematics 2018 Paper

Question : 10

Total: 62

Solution:

Concept:

A cupboard is a rectangular prism, so its total surface area is the sum of the areas of all six faces.

Explanation:

Let length

l = 12\text{ cm}

, breadth

b = 10\text{ cm}

, and height

h = 8\text{ cm}

The formula for total surface area is:

A = 2(lb + bh + lh)

Substitute the given dimensions:

A = 2((12 \times 10) + (10 \times 8) + (12 \times 8))

Simplify each product:

A = 2(120 + 80 + 96)

Add inside the bracket:

A = 2 \times 296 = 592\text{ cm}^2

Thus, the total surface area is

592\text{ cm}^2

Answer:

592\text{ cm}^2

, which is option B.

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