Question

Find the height of a cuboid whose base area is 210 cm² and volume is

1050cm³.​

Answer 1

Question:-

Find the height of a cuboid whose base area is 210 cm² and volume is 1050cm³.

Answer:-

• The height of cuboid is 5 cm

To find:-

• Height of cuboid

Solution:-

• Area of base = 210 cm²
• Volume of cuboid = 1050 cm³

As we know,

$\large{ \boxed{ \mathfrak{volume = l \times b \times h}}}$

Where,

• l = length of cuboid
• b = breadth of cuboid
• h = height of cuboid

Here,

• Area of base = l×b = 210 cm²

Thus,

• Volume of cuboid = area of base × height

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: 210 \times h = 1050}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: h = \frac{1050}{210} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: h = 5}$

Hence,

The height of cuboid is 5 cm.