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Higher November 2019 Unit 1 Q9

WJECHigherCurrent spec3 marksUpper & Lower Bounds

9. A cuboid has dimensions of 40 mm, 25 mm and 12 mm.
All of these measurements are correct to the nearest mm.

Cuboid 40 mm long, 25 mm deep and 12 mm high

Diagram not drawn to scale

Four of these cuboids are stacked together as shown below.

Four cuboids stacked two by two: two layers high and two cuboids deep; a is the 40 mm length along the front, b is the depth of two cuboids, c is the height of two layers

Diagram not drawn to scale

(a) Write down the greatest possible value of length \(a\).
Give your answer in mm. [1]
(b) Calculate the greatest possible value of length \(b\).
Give your answer in mm. [1]
(c) Calculate the least possible value of length \(c\).
Give your answer in mm. [1]
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