Answer for Volume

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1.           Step 1 : 33 /5 = 6 R 3         3 x 22 x 20 = 1320     

                    Step 2 : 22 /5 = 4 R 2         33 - 3 = 3           2  x 30 x 20 = 1200
 
                    Step 3 : 1320 + 1200 = 2520 cm3

                    The volume of the space left in the box is 2520cm3

   

    2.            This is mathematics and not science, so presume the air cannot be compressed.

                   Step 1 : 1620 x 2/3 = 1080              1620 - 1080 = 540

                   Step 2 : 405 - 45 = 360

                   Step 3 : 540 / 360 = 1.5

                   It will take 1 minute and 30 seconds to fill the remaining space in the wheel.



   3.           2 cm = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

                 3 cm = 3, 9, 12, 15, 18, 21, 24, 27, 30

                 2cm and 3cm have the common number of 12, 18 and 24.

                 12 x 18 x 24 = 5184 cm3

                 The dimensions of the cuboid are 12cm by 18cm by 24cm.


    4.          A = 1 x 1 x1 = 1cm3                  B = 3 x 3 x 3 = 27cm3

                 27 - 1 = 26cm3

                 26 /1 x 100% = 2600%

                 The volume of cube B than that of cube A is 2600% larger.



     5.          Front face :  4 : 3   = 4 x 3 = 12       
                  8 x 6 = 48    therefore length = 8cm and width = 6cm

                  Side face is a square, therefore the side is 6cm

                  8 x 6 x 6 = 288 cm3

                  The volume of the cuboid is 288cm3