Gce Model Questions Vol1 2018 Mathematics Question 32

Practice objective / multiple choice question 32 from the 2018 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 32 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

An open rectangular box has a square base of side \(x\) cm and height \(h\) cm. Its volume is \(5000\text{ cm}^3\). The material for the base costs 2 cents per cm\(^2\) and the material for each side costs 1 cent per cm\(^2\). Determine the dimensions that minimise the total cost of material, giving your answer in exact form.

Answer Options

A. x = h = 2\sqrt[3]{5000}\ \text{cm}
B. x = h = \frac{\sqrt[3]{5000}}{2}\ \text{cm}
C. x = h = \sqrt[3]{2500}\ \text{cm}
Correct Answer D. x = h = \sqrt[3]{5000}\ \text{cm}
Correct Answer
D
Correct Option:
x = h = \sqrt[3]{5000}\ \text{cm}

About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 32. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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