Question

the volume of a cuboid is 840 cm³. if its length is 14 cm and breadth is 5 cm find the height of cuboid​

Answer 1

$\sf Given \begin{cases} & \sf{Length\:of\:cuboid = \bf{14\:cm}} \\ & \sf{Breadth\:of\:cuboid = \bf{5\:cm}} \\ & \sf{Volume\:of\:cuboid = \bf{840\:cm^3}} \end{cases}$

We have to find: Height of cuboid?

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We know that,

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$\star\;{\boxed{\sf{\purple{Volume_{\;(cuboid)} = l \times b \times h}}}}$

where l , b and h is length, breadth and height of cuboid respectively.

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$\dag\;{\underline{\frak{Putting\:given\:values,}}}$

$:\implies\sf 14 \times 5 \times h = 840$

$:\implies\sf 70 \times h = 840$

$:\implies\sf h = \cancel{ \dfrac{840}{70}}$

$:\implies{\boxed{\sf{\pink{h = 12\;cm}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Thus,\; Height\;of\;cuboid\;is\; {\textsf{\textbf{12\;cm}}}.}}}$

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Answer 2

Step-by-step explanation:

14 × 5 × X = 840 cm³

so 70x= 840 cm³

x=840÷70

x=12

so height of the cuboid is 12 cm

for cross checking:

14 × 5 × 12=840 cm³