Question

3. Find the height of a cuboid whose volume is 312 cm3 and base area is 26 cm2.​

Answer 1

Answer:

12 cm

Step-by-step explanation:

Given

Volume of a cuboid =312cm

3

Base area =26cm

2

We know that,

Volume of a cuboid = Base area × height

⇒312=26×h

⇒h=

26

312

=12 cm

Answer 2

Answer:

Given :-

• A cuboid whose volume is 312 cm³ and base area is 26 cm².

To Find :-

• What is the height of a cuboid.

Solution :-

Let,

$\mapsto \bf Height_{(Cuboid)} =\: h\: cm$

As we know that :

$\clubsuit$ Volume Of Cuboid Formula :

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

Given :

• Base area = 26 cm²
• Volume = 312 cm³

Now,

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

$\implies \sf\bold{\blue{26 =\: Length \times Breadth}}$

According to the question by using the formula we get,

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

$\implies \sf 312 =\: 26 \times h$

$\implies \sf \dfrac{\cancel{312}}{\cancel{26}} =\: h$

$\implies \sf 12 =\: h$

$\implies \sf\bold{\red{h =\: 12\: cm}}$

$\therefore$ The height of a cuboid is 12 cm .