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JAMB Mathematics 2023 Paper

Question : 56

Total: 80

Find the volume of the composite solid above.

Solution:

Concept:

Break the composite solid into two simple cuboids and add their volumes.

Explanation:

Volume of a cuboid =

\text{length} \times \text{breadth} \times \text{height}

For cuboid A, the dimensions are

6\, \text{cm}

26\, \text{cm}

, and

8\, \text{cm}

V_A = 6 \times 26 \times 8 = 1248\, \text{cm}^3

For cuboid B, the dimensions are

6\, \text{cm}

10\, \text{cm}

, and

22\, \text{cm}

V_B = 6 \times 10 \times 22 = 1320\, \text{cm}^3

Total volume of the composite solid =

V_A + V_B = 1248 + 1320 = 2568\, \text{cm}^3

Answer:

2568\, \text{cm}^3

which is Option B.

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