Resources tagged with: Volume and capacity

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There are 16 NRICH Mathematical resources connected to Volume and capacity, you may find related items under Measuring and calculating with units.

Broad Topics > Measuring and calculating with units > Volume and capacity

Immersion

Age 14 to 16
Challenge Level

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Cuboid Challenge

Age 11 to 16
Challenge Level

What's the largest volume of box you can make from a square of paper?

Funnel

Age 14 to 16
Challenge Level

A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

Three Cubes

Age 14 to 16
Challenge Level

Can you work out the dimensions of the three cubes?

Uniform Units

Age 14 to 16
Challenge Level

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

Brimful 2

Age 16 to 18
Challenge Level

Which of these infinitely deep vessels will eventually full up?

Maths Filler 2

Age 14 to 16
Challenge Level

Can you draw the height-time chart as this complicated vessel fills with water?

Tubular Stand

Age 14 to 16
Challenge Level

If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?

Sliced

Age 14 to 16
Challenge Level

An irregular tetrahedron has two opposite sides the same length a and the line joining their midpoints is perpendicular to these two edges and is of length b. What is the volume of the tetrahedron?

Conical Bottle

Age 14 to 16
Challenge Level

A right circular cone is filled with liquid to a depth of half its vertical height. The cone is inverted. How high up the vertical height of the cone will the liquid rise?

Mouhefanggai

Age 14 to 16

Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.

In a Spin

Age 14 to 16
Challenge Level

What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?

Concrete Calculation

Age 14 to 16
Challenge Level

The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to. . . .

Reach for Polydron

Age 16 to 18
Challenge Level

A tetrahedron has two identical equilateral triangles faces, of side length 1 unit. The other two faces are right angled isosceles triangles. Find the exact volume of the tetrahedron.

2D-3D

Age 16 to 18
Challenge Level

Two circles of equal size intersect and the centre of each circle is on the circumference of the other. What is the area of the intersection? Now imagine that the diagram represents two spheres of. . . .

Plane to See

Age 16 to 18
Challenge Level

P is the midpoint of an edge of a cube and Q divides another edge in the ratio 1 to 4. Find the ratio of the volumes of the two pieces of the cube cut by a plane through PQ and a vertex.