Gce Model Questions Vol1 2018 Mathematics Question 43

Practice objective / multiple choice question 43 from the 2018 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 43 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

A closed rectangular prism has length \(L\), width \(W\) and height \(H\). It is known that \(L = 2W\), the total surface area is \(500\ \text{cm}^2\) and the space diagonal has length \(25\ \text{cm}\). Determine the volume of the prism in cubic centimetres, giving your answer in exact form and to three significant figures.

Answer Options

A. 500000*sqrt(5)\/2401 cm^3 (≈ 4.66×10^2 cm^3)
B. 525000*sqrt(6)\/2401 cm^3 (≈ 5.09×10^2 cm^3)
C. 525000*sqrt(5)\/2500 cm^3 (≈ 4.71×10^2 cm^3)
Correct Answer D. 525000*sqrt(5)/2401 cm^3 (≈ 4.89×10^2 cm^3)
Correct Answer
D
Correct Option:
525000*sqrt(5)/2401 cm^3 (≈ 4.89×10^2 cm^3)

About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 43. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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