Question

A cuboidal box is open at the top it measures 36cm by 30 cm by 24 cm what is the largest number of cubes of edge 6cm that can fit into it

Answer 1

total surface area of cuboid =2 (lb+bh+hl)
= 2 (36×30+30×24+24×36 )
=3744 cm^2
surface area of cube = 6a^2
=6×6^2
=6×36 =216
so largest no of cube 3744/216 =17.33

Answer 2

Hi friend,

Here is your answer,

Volume of cuboid = 36 * 30 * 24
Volume of one cube = 6 * 6 * 6
Number of cubes = Volume of cuboid / Volume of one cube
                            = 36 * 30 * 24 / 6 * 6 * 6
                            = 6 * 5 * 4
                            = 120


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