Question

A carpenter makes a box which has a volume of 13400 cm³. The base has an area of 670cm². What is the height of the box
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Answer 1

Given :-

• Volume of box = 13400 cm³
• Area of the base = 670 cm²

To Find :-

• Height of the box.

Solution :-

Base of cuboid is a rectangle.

Volume of the box :-

$\pink{:\implies\:\:\:}\sf{Volume = Base \:Area \times height}$

$\pink{:\implies\:\:\:}\sf{13400 = 670 \times h }$

$\pink{:\implies\:\:\:}\sf{h = \dfrac{13400}{670} }$

$\pink{:\implies\:\:\: }\underline{\boxed{\pink{\mathfrak{h = 20\:cm}}}}$

∴ Height of the box = 20 cm

Answer 2

${\large{\underbrace{\underline{\bf{Question:-}}}}}$

A carpenter makes a box which has a volume of 13400 cm³. The base has an area of 670cm². What is the height of the box?

${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

Given:-

Volume of the box = 13400 cm³

Base area = 670 cm²

It is clearly understood that the box is in cuboidal shape.

We know that,

Area  = l × b (l = length and b = breadth of the rectangle)

Volume of cuboid = l × b × h (l = length, b = breadth and h = height)

13400 = 670 × h

$\frac{13400}{670}$ = h

∴ h = 20

Height of the box = 20 cm

Hope this helps! ♡