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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Question

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

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

(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?

• 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

1^st layer = 3 x 2 = 6

2^nd layer = 1 + 3 = 4

3^rd 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).

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

• 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.

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To Your Child’s Success,

Ms Nelly Ke
Math Specialist
Jimmy Maths and Grade Solution Learning Centre

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