TRIANGULAR PRISM VOLUME FORMULA | TRIANGULAR PRISM BASE AREA AND ITS CROSS SECTION AREA
TRIANGULAR PRISM VOLUME FORMULA | TRIANGULAR PRISM BASE AREA AND ITS CROSS SECTION AREA
The diagram shows a solid in the shape of a triangular prism
AC
= 5 cm, BC = 4 cm and CD = 7 cm.
Angle
ABC = 90°.
Mathematics Cambridge IGCSE Test (0580 m16 qp 32)
(a)
What does the word prism tell you about the solid in the diagram?
Answer:
Constant or uniform cross-sectional area of triangular prism.
It means if you cut parallel to the base side, it will be same area with area of the base. The
diagram shown below, red area will same with blue area of triangular prism.
(b) Show that AB = 3 cm.
Answer:
By using Phytagoras Formula, 52 = 42
+ 32
It shown that AB = 3 cm.
Loot at triangular prism picture above.
(c) Calculate the volume
of the prism.
Give the units of your answer.
Answer:
Triangular Prism volume formula is Base Area x Height
=
Area of Triangle ABC x Height of Triangular Prism
=
½ x 4 x 3 x 7
=
42 cm squares.
