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BECE Mathematics 2019 Paper

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Question : 15

Total: 40

A tank in the form of a cuboid has length 6 m and breadth 4 m . If the volume of the tank is

36\text{ m}^3

, find the height.

$\;\; 0.67\text{ m}$
$\;\; 1.5\text{ m}$
$\;\; 1.8\text{ m}$
$\;\; 5.0\text{ m}$

Solution:

Concept:

The volume of a cuboid is the product of its length, breadth, and height.

Explanation:

Volume of a cuboid

= \text{Length} \times \text{Breadth} \times \text{Height}

Given: Length

= 6\text{ m}

, Breadth

= 4\text{ m}

, Volume

= 36\text{ m}^3

Substitute the known values:

36 = 6 \times 4 \times \text{Height}

36 = 24 \times \text{Height}

Divide both sides by 24:

\text{Height} = \frac{36}{24} = \frac{3}{2} = 1.5\text{ m}

Answer:

The height of the tank is

1.5\text{ m}

.

Correct option: B.

1.5\text{ m}

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