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Volumes Practice Test 4

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Question : 9 of 16

Marks: +1, -0

A cube of edge 15 cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20 cm × 15 cm, find the rise in water level.

11.25 cm
11.50 cm
11.75 cm
12 cm

Solution:

Concept:

The rise in water level equals the volume of the immersed cube divided by the base area of the vessel.

Explanation:

Volume of the cube

= 15^3 = 3375\ \mathrm{cm}^3

.

Base area of the vessel

= 20 \times 15 = 300\ \mathrm{cm}^2

.

Let the rise in water level be

h\ \mathrm{cm}

.

Then,

300 \times h = 3375

.

So,

h = \frac{3375}{300} = 11.25\ \mathrm{cm}

.

Answer:

11.25\ \mathrm{cm}

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