Question

Find how much wood was used in making a cubical pen stand of side 9cm thickness 2cm.​

Answer 1

Answer: 604 cm³

Step-by-step explanation:

Given :-

Side of the cubical pen stand = 9cm

Thickness = 2 cm

We also know that,

Volume of a cube = s³, where s is the side of the cube.

Although the top of the cubical pen stand is open, it is given that it is still cubical so no extra measurements need to be cut off from its sides. (The volume will remain the same)

Since, 2 cm is the thickness of the pen stand, it will be subtracted twice, from the original side of the cubical pen stand.

The side of the inner cube formed will be 9 - 2 - 2 = 5 cm.

So, volume of the wood used = Outer volume of the cube - Inner volume of the cube

→ (9 × 9 × 9) - (5 × 5 × 5)

→ 729 - 125 .

⇒ 604 cm³

The volume or the amount of wood used will be 604 cm³