**Volume Spatial Visualisation Skill**

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

**Before you read on, 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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__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.**

**This will be delivered to your email inbox.**

To Your Child’s Success,

Ms Nelly Ke

Math Specialist

Jimmy Maths and Grade Solution Learning Centre

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