waec model questions vol1 2023 mathematics

Objective Question 19

Question 19 WAEC_MODEL_QUESTIONS_VOL1 • 2023
A closed rectangular box has length twice its width and a total surface area of 48 cm². Determine the dimensions that give the maximum possible volume and state that maximum volume.
Answer Options
A. Maximum volume = 48\/3 cm³, attained when width = 2 cm, length = 4 cm, height = 4 cm
Correct Answer B. Maximum volume = 64/3 cm³, attained when width = 2 cm, length = 4 cm, height = 8/3 cm
C. Maximum volume = 64\/3 cm³, attained when width = 3 cm, length = 6 cm, height = 8\/3 cm
D. Maximum volume = 80\/3 cm³, attained when width = 1 cm, length = 2 cm, height = 8\/3 cm
Correct Answer
B

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