Bece Model Questions Vol1 2025 Mathematics Question 3

Practice essay / theory question 3 from the 2025 Bece Model Questions Vol1 Mathematics examination. This question covers ratio, surface area, volume, space diagonal, 3‑D geometry .

Bece Model Questions Vol1 2025 Mathematics Essay / Theory
Topics: ratio surface area volume space diagonal 3‑D geometry
Question 3 BECE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay
Bece Model Questions Vol1 2025 Mathematics Question 3 diagram

The diagram shows a right rectangular prism ABCD‑EFGH. Edges AB, BC and AE represent the length (L), width (W) and height (H) respectively. The ratio of the length to the width to the height is 3:4:5 and the total surface area of the prism is 940 cm².

Question Parts

( a )
State the ratio of the length : width : height of the prism.
( b )
Using the given surface area, determine the actual dimensions (L, W, H) in centimetres. Express each dimension in simplest radical form.
( c )
Calculate the length of the space diagonal of the prism. Give your answer in simplest radical form.
( d )
Find the ratio of the volume of the prism to its total surface area. Express the ratio in its simplest integer form a : b where a and b have no common factor.

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About This Question

This is Bece Model Questions Vol1 2025 Mathematics Question 3. It is one of the essay questions from the 2025 Bece Model Questions Vol1 Mathematics examination.

The question covers ratio, surface area, volume, space diagonal, 3‑D geometry .

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