Question

The volume of a certain container is 6912. The length and width are twice the height. What is the height?

Answer 1

$<i>Heya !$

Here's your answer !!

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SOLUTION

Since the unit is not given, we will take the unit as metre ( m )


Let the height be x metres.

Length = 2x

Width = 2x

Volume = 6912 m³

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We know ,

Volume = Length × Breadth × Height

6912 = 2x × 2x × x

6912 = 4x³

x³ = 6912/4

x = $\sqrt[3]{1728}$

x = $\sqrt[3]{12 \: × \: 12 \: × \: 12}$

x = 12 m

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ANSWER

The Height is 12 m

The Length is 24 m

The Breadth is 24 m

Answer 2

Heyy mate❤✌✌❤

Here's your Answer....

LET THE HEIGHT BE X CM.

=> LENGTH AND BREADTH BE 2X EACH.

NOW,

VOLUME = L × B × H

=> 6912 = 2X × 2X × X

=> 6912 = 4X^3

=> X^3 = 6912/4

=> X^3 = 1728

=> X =
$\sqrt[3]{1728}$
=> x = 12cm.