| This chapter describes how to calculate the volume of something. If you have to know the volume of a large box it goes as follows. You measure the length, width and the height of the box. You need this information to calculate the volume of the box. In this chapter you will learn how to calculate the volume. |
| 01. |
John works in the warehouse. |
|
He has to pile the boxes up like this (see drawing) |
|
How many boxes are there now in total ?____________ boxes. |
| 02. |
John has placed the boxes against the wall. The wall is completely covered with a pile of boxes.
He now places a second pile of boxes in front of it.
After that he places another pile of boxes in front of this.
In total, John places 3 piles of boxes in front of the wall.
|
|
How many boxes are there now in total ?____________ boxes. |
| 03. |
a. How many blocks does this construction consist of ? |
front
|
xxThe above construction consists of ____________ blocks.
|
|
b. Take enough blocks and make the construction. |
| 04. |
How many blocks can be placed in the box in total (see dotted lines)? |
|
a.xxx ____________ blocks can fit in the box. |
|
b.xxxDoes your neighbour have the same answer ?xxxxxx yes / no |
|
c.xxxWrite down how you calculate the volume of the box |
|
xxxxx__________________________________________________________________ |
|
xxxxx__________________________________________________________________ |
| 05. |
a.xxxTake sufficient blocks and make this construction. |
|
b.xxxHow many blocks does the bottom layer of this construction consist of? |
|
xxxxxThe bottom layer consists of __________ blocks. |
|
c.xxxHow do you calculate this? |
|
xxxxx__________________________________________________________________ |
|
xxxxx__________________________________________________________________ |
| 06. |
xxxxxFill the adjacent box with blocks. |
|
a.xxxHow many layers on top of each other will the construction xxxxxhave when the box is full?
|
|
xxxxThe construction will have ________ layers
xxxxwhen the box is full.
|
|
b.xxxHow many blocks will fit in the box?
xxxxx________ blocks will fit in the box.
|
|
c.xxxHow do you calculate this ? |
|
|
|
xxxxx__________________________________________________________________ |
|
xxxxx__________________________________________________________________ |
| 07. |
a.xxxTake sufficient blocks and make this construction. |
|
b.xxxFill the adjacent box with blocks.
xxxxiHow many blocks fit in the bottom layer ?
|
|
xxxxx_________blocks will fit in the bottom layer.
xxxx
|
|
c.xxxHow do you calculate this ?
xxxxx__________________________________________
xxxxx__________________________________________
|
|
|
|
d.xxxHow many layers on top of each other will the construction have when the box is full ? |
|
d.xxxThe construction will have ________ layers when the box is full. |
|
e.xxxHow many blocks will fit in the box ? |
|
xxxxx_________blocks will fit in the box. |
|
f.xxxHow do you calculate this? |
|
xxxxx__________________________________________________________________ |
|
xxxxx__________________________________________________________________ |
| 08. |
a.xxxHow many blocks will fit in the box ? |
|
xxxxx_________blocks will fit in the box.
xxxx
|
|
b.xxxHow do you calculate this ?
xxxxx__________________________________________
xxxxx__________________________________________
|
|
|
| 09. |
a.xxxHow many blocks will fit in the box ? |
|
xxxxx_________blocks will fit in the box.
xxxx
|
|
b.xxxHow do you calculate this ?
xxxxx__________________________________________
xxxxx__________________________________________
|
|
|
| 10. |
Look at the adjacent drawing of a big box. |
|
8 blocks will fit next to each other in the length.
4 blocks will fit next to each other in the width.
|
|
a.xxxxHow many blocks can fit on the bottom
of the box ?
|
|
xxxxxx_________blocks
|
|
b.xxx6 blocks will fit on top of each in the height.
xxxxxHow many blocks will in the box in total ?
|
|
xxxx________ blocks
|
|
c.xxx How do you calculate this ? |
|
|
|
xxxxx__________________________________________________________________ |
|
xxxxx__________________________________________________________________ |
| Explanation |
To calculate the volume of something, we multiply the surface by the height.
Or more concisely: Volume is surface times height.
As a formula: I = o x h.
|
| Explanation |
This is a block with a length and a width of 1 centimetre.
The height of the block is also 1 centimetre.
|
 |
You calculate the volume with the formula length times width times height.
The volume of the block is 1 cm x 1 cm x 1 cm = 1 cubic centimetre
(1 cm³).
|
A block with a length, width and height of 1 centimetre is called a cubic centimetre. We write it like this: 1 cm³.
|
A block with a length, width and height of 1 decimetre is a cubic decimetre. We write it like this: 1 dm³. |
A large block with a length, width and height of 1 meter is a cubic meter. We write it like this: 1 m³. |
You calculate the volume of an object by multiplying the length, width and height. A ³ is then placed with the unit. |
| 11. |
This is a construction of blocks.
The blocks have a volume of 1 cm³.
|
|
Calculate the volume of this block construction.
|
|
The volume of this construction is ________ cubic
centimetres (cm³)
|
|
|
| 12. |
On the bottom of the box, blocks of 1 cm³ have been drawn.
|
|
Fill the box.
5 layers of blocks of 1 cm³ will fit in the box on top of each other.
What is the volume when the box is full?
The volume of a full box is ________ cubic centimetres (cm³)
|
|
|
| 13. |
To the right you can see the drawing of a small box.
The length of the box is 6 centimetres.
The width is 3 centimetres.
The height is 4 centimetres.
What is the volume of the box?
|
|
The volume is ________ cubic centimetres (cm³).
|
|
|
| 14. |
To the right you can see the drawing of a chest.
The sizes are in centimetres.
What is the volume of the chest?
|
|
The volume is ________ cubic centimetres (cm³).
|
|
|
| 15. |
To the right you can see the drawing of a chest.
The sizes are in decimetres.
What is the volume of the chest?
|
|
The volume is ________ cubic centimetres (cm³).
|
|
|
| 16. |
Calculate the volume of a box with the following sizes:
the length is 60 cm, the width is 40 cm and the height is 30 cm.
The volume is ________ cubic centimetres (cm³).
|
| 17. |
Calculate the volume of a box with the following sizes:
the length is 6 dm, the width is 4 dm and the height is 4 dm.
The volume is ________ cubic decimetres (dm³).
|
| 18. |
Calculate the volume of a box with the following sizes:
the length is 60 cm, the width is 40 cm and the height is 35 cm.
The volume is ________ cubic centimetres (cm³).
|
| 19. |
Calculate the volume of a box with the following sizes:
the length is 8 dm, the width is 5 dm and the height is 3.5 dm.
The volume is ________ cubic decimetres (dm³).
|
|
