Question

Two water tanks are shown. Tank A is a rectangular prism and Tank B is a triangular prism. Tank A is filled with water to the 6-meter mark. Some of the water from Tank A is being transferred to Tank B so that the water level in Tank A is at 2 meters. Shade the amount of water in Tank B to indicate the approximate height of the water in Tank B after the transfer. Also write the height, to the nearest whole number of meters, in the space provided.

Answer 1

The height of the prism that's depicted in the water tank will be 8m.

How to calculate the height of the prism?

The area of the base of the triangular prism will be calculated thus:

= 1/2 × 4 × 9

= 18m²

The volume of water removed from the rectangular tank will be:

= (6 × 6) × 4

= 144m³

Therefore, the height will be calculated thus:

18 × h = 144

18h = 144

h = 144/18

h = 8m

Therefore, the height is 8m.

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