Currently viewing the tag: "Volume"
Make enlargements of the coloured shapes by fitting together four identical smaller shapes.
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 […]
This United Nations Children’s Fund pie chart shows the global locations of 783 million people who did not have safe drinking water in 2012 and this number is increasing.
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) You will need a collection of cups, either disposable cups like the ones shown or any mugs and cups you have available. You will also need some water and a measuring jug.
Which cup would you fill with water if you are really thirsty and want a lot to drink?
Arrange […]
For your company, you have to design spinning tops made from two pieces glued together, a hemisphere and a cone, and you have to plan how they will be manufactured, packaged and sold.
(1) The radius of the circular surface where the pieces are glued together is 3 cm. The slant […]
You will need some water and a collection of jars and bottles of different sizes and shapes like those in the picture, or a mixture of jars or bottles and paper cups of different shapes and sizes.
Which holds the most? Which holds the least? How could you find out? Explore!
Put […]
A circle of radius r and centre O, is inscribed in a triangle with edges of lengths a, b and c.
Find the area and circumference of the circle.
Find the area and the perimeter of the triangle.
What do you notice about the ratios of the two areas and the ratios […]
What is the volume of this cuboid?
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?
Click here for Notes for Teachers.
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This stand is made from cylindrical wooden dowel of diameter 1 cm joined at the corners with 45 degree mitres.
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 […]
Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?
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 […]
Take a sheet of paper 20 cm by 20 cm and make a box without a lid by cutting out a square at each corner and folding up the flaps. What is the volume of your box?
Make boxes with different volumes by varying the sizes of the squares that you cut […]
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