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WAEC Mathematics 2024 Paper

Question : 26

Total: 50

^{3}

, calculate the total surface area.

Solution:

Concept:

Use the volume formula of a cuboid to find the height, then apply the total surface area formula.

Explanation:

For a cuboid, Volume

= L \times B \times H

Given:

L = 15

cm,

B = 8

cm, and Volume

= 1560

^{3}

So,

15 \times 8 \times H = 1560

Therefore,

H = \frac{1560}{15 \times 8} = \frac{1560}{120} = 13

cm.

Now, Total Surface Area

= 2(LB + LH + BH)

Substitute the values:

2((15 \times 8) + (15 \times 13) + (8 \times 13))

This gives

2(120 + 195 + 104) = 2(419) = 838

^{2}

Answer:

The total surface area is

838

^{2}

, which is Option B.

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