Test Index

Volumes Practice Test 3

Question : 4 of 40

Marks: +1, -0

m^3

Solution:

Concept:

Use the cuboid volume formula and express all dimensions in terms of one variable.

Explanation:

Let the breadth be

b

Breadth is half the length, so length

l = 2b

Breadth is twice the height, so height

h = \frac{b}{2}

Volume of cuboid:

V = l \times b \times h

Substitute the dimensions:

V = 2b \times b \times \frac{b}{2} = b^3

Given

V = 512\ \mathrm{m}^3

, so

b^3 = 512

Thus

b = \sqrt[3]{512} = 8

Length

l = 2b = 2 \times 8 = 16

Answer:

The length of the cuboid is

\boxed{16\ \mathrm{m}}

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