### There are 14 results

Broad Topics >

Measuring and calculating with units > Surface and surface area

##### Age 7 to 16 Challenge Level:

Which of the following cubes can be made from these nets?

##### Age 11 to 14 Challenge Level:

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?

##### Age 5 to 11 Challenge Level:

Investigate the number of faces you can see when you arrange three cubes in different ways.

##### Age 11 to 14 Challenge Level:

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

##### Age 7 to 11 Challenge Level:

Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.

##### Age 11 to 14 Challenge Level:

How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

##### Age 7 to 11 Challenge Level:

What is the largest cuboid you can wrap in an A3 sheet of paper?

##### Age 7 to 11 Challenge Level:

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

##### Age 7 to 11 Challenge Level:

How many tiles do we need to tile these patios?

##### Age 11 to 14 Challenge Level:

Find a cuboid (with edges of integer values) that has a surface
area of exactly 100 square units. Is there more than one? Can you
find them all?

##### Age 7 to 11 Challenge Level:

Investigate the area of 'slices' cut off this cube of cheese. What
would happen if you had different-sized block of cheese to start
with?

##### Age 11 to 14 Challenge Level:

According to Plutarch, the Greeks found all the rectangles with
integer sides, whose areas are equal to their perimeters. Can you
find them? What rectangular boxes, with integer sides, have. . . .

##### Age 7 to 11 Challenge Level:

A follow-up activity to Tiles in the Garden.

##### Age 11 to 14 Challenge Level:

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?