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barxatty [35]
4 years ago
10

What is the volume of the following rectangular prism? 21/2 units 8/3 units

Mathematics
1 answer:
xeze [42]4 years ago
5 0

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = \frac{21}{2} and l = \frac{8}{3} , thus

V = \frac{21}{2} × \frac{8}{3} ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= \frac{7}{1} × \frac{4}{1} = 7 × 4 = 28 units³

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Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

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Since the change at the same ratio but inversely, k = 1

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a = 1/b

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When b doubles, b2 = 2b1

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Making a2 the subject of formula;

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Therefore, when b doubles, a will be divided by 2, that means a is halfed.

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