No products in the cart.

The area of four walls of …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

The area of four walls of a cuboidal box is 256 cm . If length of a box is 5 times of the height find its dimension
  • 1 answers

Yogita Ingle 5 years, 11 months ago

et height =x
Given area=256 cm square
A.t.q.
Length=5(height)
L=5x
Breadth=3(height)
B=3x

Curved surface area of cuboid
= 2(l+b)h
Given area=256 cm square
2(5x+3x)×x=256
2(8x)×x=256
16x^2=256
16x^2-256=0
Taking 8 common
8(2x^2-32)=0
2x^2-32=0
By factorization
2x^2+0x-32=0
2x^2+8x-8x-32=0
Taking common
2x(x+4)-8(x+4)=0
(x+4)(2x-8)=0
x+4=0,,,,,2x-8=0
x=-4,,,,,x=4
Sides can't be -ve so
x=4
Height=4cm
Length =5x
Length=5×4=20
Breadth=3x
Breadth=3×4=12
L=20
B=12
H=4

https://examin8.com Test

Related Questions

3+4{
  • 4 answers
Convert the following ratio to percentage 3:4
  • 2 answers
Class 8th ex .5.1
  • 1 answers
Pythagoras theoram ???
  • 1 answers
2x+5= 10
  • 1 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Download myCBSEguide App