Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in their volumes is 360 cm³. Find their height.

18 cm

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15 cm

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16 cm

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14 cm

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Solution

The correct option is B
15 cm

Difference in their volume $= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3}$
$\Rightarrow 96 h - 72 h = 360$

$\Rightarrow 24 h = 360$
$\Rightarrow h = 15 c m$

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Two rectangular boxes have the same height and length, but different widths as shown in the figure. The difference in their volumes is 360 cm3. Find their height.

The correct option is B 15 cm Difference in their volume =360 cm3 ⇒(12×8×h−9×8×h)cm3=360 cm3 ⇒96h − 72h = 360 ⇒24h = 360 ⇒h=15 cm

Two rectangular boxes have the same height and length, but different widths as shown in the figure.

The difference in their volumes is 360 cm³. Find their height.

The correct option is B
15 cm

Difference in their volume $= 360 c m^{3}$
$\Rightarrow (12 \times 8 \times h - 9 \times 8 \times h) c m^{3} = 360 c m^{3}$
$\Rightarrow 96 h - 72 h = 360$

$\Rightarrow 24 h = 360$
$\Rightarrow h = 15 c m$