# A block of wood in the form of cuboid of dimensions 6*7*14* has all its six faces painted pink if the wooden is cut into 504 cubes of dimension 1*1*1 how many of these would have pink paint on minimum one side of them

Answers (1)

Solution

$\\ a=6 ; b=7;and;c=14$

Volume of big cuboid $\\=6\times 7\times 14=588$

Volume of small cuboid =$\\ 1\times 1\times 1=1$

So we get cuboid volume /small cube volume

The cubes hidden inside and not seen at all are

$\\ (a-2)\times (b-2)\times (c-2)=4\times 5\times 12=240 cube$

Small cubes which are seen on the surface of big cuboid =588-240=348

These many cubes have pink on at least one side

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
##### Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
##### Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
##### Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course

Exams
Articles
Questions