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WAEC Mathematics 2013 Paper

Question : 15

Total: 48

^3

^3

. Find the height of the cuboid

Solution:

Concept:

For solids with the same base area, volume equals base area multiplied by height.

Explanation:

Let the side of the cube be

a

cm.

Volume of cube

= a^3 = 64

Therefore,

a = \sqrt[3]{64} = 4

cm.

Base area of cube

= a^2 = 4^2 = 16\text{ cm}^2

Since the cuboid has the same base area, its base area is also

16\text{ cm}^2

Volume of cuboid

=

Base area

\times

Height

80 = 16 \times h

h = \frac{80}{16} = 5

cm.

Answer:

The height of the cuboid is

5

cm.

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