Question

find the height of a cuboid whose base area is 1800cm² and volume is 900cm³.​

Answer 1

Answer:

6find the height of a cuboid whose base area is 1800cm² and volume is 900cm³.

Answer 2

Question :-

• Find the height of a cuboid whose base area is 1800cm² and volume is 900cm³.

Given :-

• Area of Base = 1800cm²
• Volume of Cuboid = 900cm³

To Find :-

• What is the Height of cuboid ?

Solution :-

${:} \longrightarrow \sf{\tt{Volume \: of \: Cuboid \: = \: Area \: of \: Base \: \times \: Height }}$

${:} \longmapsto \sf\boxed{\bf{Height \: = \:\dfrac {Volume \: of \: Cuboid }{Area \: of \: Base} }}$

${:} \longmapsto \sf{\sf{Height \: = \:\dfrac { 1800 }{900} }}$

${:} \longmapsto \sf{\sf{Height \: = \:\dfrac { 18\cancel{00} }{9\cancel{00}} }}$

${:} \longmapsto \sf{\sf{Height \: = \:\dfrac { \cancel{18} }{\cancel9} }}$

${:} \longmapsto \sf{\bf{Height \: = \:2cm }}$

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So, the Height of Cuboid = 2cm

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Verification :-

${:} \longrightarrow \sf{\bf{Volume \: of \: Cuboid \: = \: Area \: of \: Base \: \times \: Height }}$

${:} \longrightarrow \sf{\sf{1800 \: = \: 900 \: \times \: 2 }}$

${:} \longrightarrow \sf{\bf{1800 \: = \:1800 }}$

Hence, Proved

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More For Knowledge :-

• Volume of cylinder = πr²h
• Volume of cone = ⅓ πr²h
• Volume of cuboid = l × b × h
• Volume of cube = a³
• Volume of sphere = 4/3πr³

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