Calculate the volume of the regular three dimensional fig...
Calculate the volume of the regular three dimensional figure drawn above, where < ABC = 90° (a right- angled triangle).
A.
394 cm3
B.
425 cm3
C.
268 cm3
D.
540 cm3
Correct answer is D
|AC| = |DF| = 13 cm
Using Pythagoras theorem,
|AC|2 = |AB|2 + |BC|2
132 = 122 + |BC|2
|BC|2 = 169 - 144 = 25
|BC| = √25
= 5 cm
Volume of triangular prism = 12×base×length×height
= 12×5×12×18
= 540 cm3