How many other cuboids with whole number dimensions have the same volume?
Do any of them have the same surface area?
Which has the biggest surface area? Which has the smallest?
How many have a square cross section?
The external dimensions of the stand are 10 cm by 10 cm.
What are the volume and surface area of the stand?
The sketch below shows how I marked […]
The total world population in 2017 is 7.5 billion (7,500,000,000). What percentage of the world population is without safe drinking water?
The world […]
(1) If the radius of the circular surface where the pieces are glued together is 3 cm, and the slant height of the cone is 5 cm, work out the total volume and surface area of the […]
You will need a collection of jars and bottles of different sizes and shapes, like those in the picture. Alternatively you can do this activity with 2 or more jars or bottles and some water or with paper cups of different sizes and sand.
Which holds the most? Which holds the least? […]
Which cup would you fill with water if you are really thirsty and want a lot to drink?
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]
Make boxes with different volumes by varying the sizes of the squares that you cut […]
How much longer are the edges (the linear scale factor of the enlargement)?
How much bigger is the area (the area scale factor of the enlargement)?
Now look at the illustration of the 3-dimensional solids. One is […]
If the can’s diameter is 6 cm what is the can’s height?
If instead the can’s height was 10 cm what would the can’s diameter have to be?
Which of these two cans uses the least aluminium?
If you could choose any diameter which dimensions for […]