15.6 Surface area, nets and views · Unit 15 Shapes, area and volume

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2 · Key words

surface areaThe total area of all the faces of a solid.

faceOne flat surface of a solid.

edgeWhere two faces meet.

vertexA corner where edges meet.

netA solid opened out flat.

front viewWhat you see looking straight at the solid from the front.

3 · Summary of the sectionrevise from this

Surface area is the total area of all the faces. It is measured in cm², not cm³.
A cuboid has 6 faces, 12 edges and 8 vertices.
The six faces come in three matching pairs.
Surface area of a cuboid = 2(lw + lh + wh).
Surface area of a cube = 6s².
The net lays all six faces out flat, so none can be forgotten.
For an open box, work out the closed one and subtract the missing face.
The total edge length of a cuboid is 4(l + w + h).
The front, side and top views are flat rectangles: l × h, w × h and l × w.
Equal volume does not mean equal surface area — a cube is the most economical box.

PDFPrintable worksheet All 71 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons1 videos

Surface Area of a Cuboid

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Six faces in three pairs, and using the net so none is missed.

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Surface area, nets and views

1 · Teaching slidesuse ← → keys

Teaching this in class? Open the presentation version.

2 · Key words

3 · Summary of the sectionrevise from this

Video lessons1 videos

Surface Area of a Cuboid

4 · Practice71 questions, easiest first

15.5 Volume of cubes and cuboids

End-of-unit {UNUM} test