Three dimensional ( 3-D) shapes are also called solid shapes. They have length, breadth and height unlike 2-D shapes that have only length and breadth. Examples of 3-D shapes are cubes, cuboids, cylinders, prisms, pyramids and spheres. They are also called geometrical solids.

Key words

Face: a surface of solid shape

Edge: a line on a solid where two faces meet

Vertex (plural vertices): a point or corner on a solid, usually where edges meet

Net: a flat shape that you can fold to make a solid

__General Evaluation/Revision Questions__

- A rectangular prism ( cuboid) has a volume of 680cm
^{3}and its height is 20cm. What is the area of the base of the prism? - The base of a swimming pool is 192m
^{2}. The depth of the swimming pool is 1.8m. find the volume of water the swimming pool can hold. - A book measures 18cm by 12cm by 3cm. Calculate its volume

__Reading Assignment__

- Essential Mathematics for J.S.S 1 by A. J. S Oluwasanmi, page 212-222.

__Weekend Assignment__

- What is the volume of a cube of edge 5cm. (a) 15cm
^{3}(b) 75cm^{3}(c) 125cm^{3}(d) 25cm^{3} - Find the volume of air in a container whose dimensions are: length = 25cm, width = 20cm and height= 10cm (a) 5000cm
^{3}(b) 2500cm^{3}(c) 4500cm^{3}(d) 500cm^{3} - The volume of a cube is given as 512cm
^{3}. What is the length of one edge of the cube? (a) 10cm (b) 6cm (c) 4cm (d) 8cm - How many small cubes of edge 2cm can be placed together to make the cube in question 3 above? (a) 66 (b) 32 (c) 64 (d) 128
- Calculate the volume of a cuboid with dimension 18cm by 12cm by 8cm. (a) 1728cm
^{3}(b) 512cm^{3}(c) 144cm^{3}(d) 1872cm^{3}

**Theory**

- The base of a cuboid has one side equal to 10cm, and the other side is 5cm longer. If the height of the cuboid is 7cm, find the volume of the cuboid.
- A cuboid measures xcm by 3xcm by 5xcm
- Work out the volume of the cuboid in terms of x
- What is the volume of the cuboid if x = 10cm?

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