Nanyang Pri Sch P6 CA1 2008 Math 47

The wooden box shown below has the sides 12cm by 10cm by 15cm. It has no cover at the top and has a thickness of 2cm around it.



a) What is the capacity of the box?
b) What is the maximum number of 2-cm cubes that can be placed in the box?

Solution

a)
Length ----- 12cm – 2cm - 2cm = 8 cm
Breadth ----- 10cm – 2cm – 2cm = 6 cm
Height ----- 15cm – 2cm = 13 cm
Capacity ----- 8cm x 6cm x 13cm = 624 cubic cm (Answer)

b)
Length ----- 8 divided by 2 = 4
Breadth ----- 6 divided by 3 = 3
Height ----- 13 divided by 2 = 6 remainder 1

Maximum number of cubes ----- 4 x 3 x 6 = 72

Answer: A maximum of 72 cubes can be placed in the box.