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WAEC Mathematics 2024 Paper

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Question : 26

Total: 50

The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm

^{3}

, calculate the total surface area.

976cm $^{2}$
838cm $^{2}$
792cm $^{2}$
746cm $^{2}$

Solution:

Volume of a cuboid = LBH = 1560cm $^{2}$

V = 15 x 8 x H = 1560

H = $\frac{1560}{15 \times 8}$ = 13cm

Total surface area of a cuboid = 2(LB + LH + BH)

= 2((15 x 8) + ( 15 x 13) + ( 8 x 13))

= 2(120 + 195 + 104) = 2(419) = 838 cm $^{2}$

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