Volume Spatial Visualisation Skill

PSLE Math Revision Notes

 

This math revision note aims to help your child:

  • Visualise a solid figure of cubes from a certain point of views
  • Visualise solid figures being contained in a box and solve related problems

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PSLE Math Revision Notes

Question

PSLE Math Revision Notes

 

(A) Draw the side view in the square grid.

PSLE Math Revision Notes

 

  • Find out where the side view is
  • Imagine how the solid figure will look like from the side.

 

PSLE Math Revision Notes

PSLE Math Revision Notes

front view

(B) Fabian placed the solid into an open rectangular box.

How many more 1-cm cubes must Fabian put into the box to fill it up completely?

cuboid

  • Find out how many cubes each side can hold.
    8 cm ÷  1 cm = 8 cubes
    The length can hold 8 cubes (from left to right)
    7 cm ÷  1 cm = 7 cubes
    The breadth can hold 7 cubes (from front to back)
    3 cm ÷  1 cm = 3 cubes
    The height can hold 3 cubes (from bottom to top)

 

  • Multiply and find out how many cubes the entire box can hold 8 x 7 x 3 = 168
  • Find out how many cubes the solid figure has

PSLE Math Revision Notes

1st layer = 3 x 2 = 6

2nd layer = 1 + 3 = 4

3rd layer = 1

6 + 4 + 1 = 11

  • Subtract away the number of cubes the solid figure has 168 – 11 = 157 (Ans)

(C) How many cubes touch the inside of the box when it is completely filled?

  • Visualise the inner core that does not touch the insides of the box. This inner core forms  a smaller cuboid measuring 6 cm in length (2 cm less than the box’s length), 5 cm in breadth (2 cm less than the box’s breadth), 2 cm in height (1 cm less than the box’s height).

PSLE Math Revision Notes

  • Note: Since it is an open box, the cubes on the top surface T will not touch the inside of the box.

PSLE Math Revision Notes

  • Find the number of cubes this smaller cuboid can contain
    6 cm ÷ 1 cm = 6 cubes
    5 cm  ÷ 1 cm = 5 cubes
    2 cm ÷ 1 cm = 2 cubes
    6 x 5 x 2 = 60 cubes
  • Take the total number of cubes and subtract away the inner core.
    168 – 60 = 108 (Ans)

Before you go, you might want to download this entire revision notes in PDF format to print it out for your child, or to read it later.

This will be delivered to your email inbox.

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