Question

Find the height of the cuboid whose base area and volume are 800 square metre and 6400 cubic metre respectively.
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Answer 1

Answer:

If 6400 cubic meters and 800 Square meters are the volume and base area of the cuboid respectively, then its height is 8m

Step-by-step explanation:

Given

The base area of the cuboid = 800 Square meters

The volume of the cuboid = 6400 cubic meters

The volume of the cuboid = base area * height

Height = volume of the cuboid/base area

= 6400/800 = 8 m

So, the height of the cuboid is 8 m

Answer 2

Answer:

Given :-

• A cuboid whose base area and volume are 800 m² and 6400 m³ respectively.

To Find :-

• What is the height of the cuboid.

Formula Used :-

$\clubsuit$ Volume Of Cuboid Formula :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cuboid)} =\: Length \times Breadth \times Height}}}\: \: \: \bigstar$

Solution :-

Let,

$\mapsto \bf Height_{(Height)} =\: h\: m$

Given :

• Base area of cuboid = 800 m²
• Volume of cuboid = 6400 m³

Now,

$\footnotesize \implies \bf Base\: Area_{(Cuboid)} =\: Length \times Breadth$

$\implies \sf\bold{\blue{800 =\: Length \times Breadth}}$

So, according to the question by using the formula we get,

$\footnotesize \implies \sf\bold{\purple{Volume_{(Cuboid)} =\: Base\: Area \times Height}}$

$\implies \sf 6400 =\: 800 \times h$

$\implies \sf \dfrac{64\cancel{00}}{8\cancel{00}} =\: h$

$\implies \sf \dfrac{\cancel{64}}{\cancel{8}} =\: h$

$\implies \sf \dfrac{8}{1} =\: h$

$\implies \sf 8 =\: h$

$\implies \sf\bold{\red{h =\: 8\: m}}$

$\therefore$ The height of the cuboid is 8 m .