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Intermediate November 2019 Unit 1 Q20

WJECIntermediateCurrent spec3 marksUpper & Lower Bounds

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

A cuboid with length 40 mm, depth 25 mm and height 12 mm

Diagram not drawn to scale

Four of these cuboids are stacked together as shown below.

Four of the cuboids stacked two wide (front to back) and two high. Length a is the 40 mm front edge, length b is the depth of two cuboids and length c is the height of two cuboids

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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