Question

A cubical box without lid is made out of cardboard whose volume is 27000 cube cm. Find the area of cardboard required to make the box.

Answer 1

Answer:

900 cm²

Step-by-step explanation:

1. Volume = s³ ; s= side

27000 = s³

$\sqrt[3]{27000}$ = s

s = 30cm

2. Area = s² = 30² = 900cm²

Answer 2

Answer:

4500 cm²

Step-by-step explanation:

Given :

• A cubical box without lid

• Volume = 27000 cm³

Find :

• The area of cardboard required to make the box

Solution :

We know volume of cube = (side)³

⇒ $side \: = \: \sqrt[3]{27000}$

⇒ 30

Side = 30 cm

Find the lateral surface area

lateral surface area = 30² × 4

⇒ 900 × 4

⇒ 3600

Now, add area of the base

( 5 th side of cubical box )

⇒ 3600 + 30²

⇒ 3600 + 900

⇒ 4500 cm²