Waec Model Questions Vol1 2023 Mathematics Question 19

Practice objective / multiple choice question 19 from the 2023 Waec Model Questions Vol1 Mathematics examination.

Waec Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 19 WAEC_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

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
Correct Option:
Maximum \(volume = \(64/3\)\) cm³, attained when \(width = 2\) cm, \(length = 4\) cm, \(height = \(8/3\)\) cm

About This Question

This is Waec Model Questions Vol1 2023 Mathematics Question 19. It is one of the objective questions from the 2023 Waec Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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