Question

Marlon has two lava lamps. The volume of his triangular prisms lamp is 96 cm cubed. He has another lava lamp in the shape of a triangular pyramid and it has the same base and height as the first candle. What is the difference in the volumes of the two lamps?

Answer 1

Answer:

Therefore the difference in volume of the two lamps = 96 $cm^{3}$ - 32 $cm^{3}$  = 64 $cm^{3}$

Step-by-step explanation:

i) volume of first lava lamp = base $\times$ height = 96 $cm^{3}$

ii) base of first lamp = base of second lamp = base

iii) height of first lamp = height of second lamp = height

iv) volume of second lamp = $\frac{1}{3}$ $\times$ base $\times$ height

    therefore volume of second lamp =  $\frac{1}{3}$ $\times$ 96 $cm^{3}$  =  32 $cm^{3}$

v) therefore the difference in volume of the two lamps = 96 $cm^{3}$ - 32 $cm^{3}$  = 64 $cm^{3}$