English

Find the Edge of a Cube Whose Surface Area is 432 M2. - Mathematics

Advertisements
Advertisements

Question

Find the edge of a cube whose surface area is 432 m2.

 
Short Note

Solution

Let,

a → Edge of the cube

Surface area of the cube = 6a2

So,

`6a^2 = 432`

   `a^2 = 432/6`

        = 72

     ` a = 6 sqrt(2) ` m 

Side of the cube is `6 sqrt(2) ` m .

shaalaa.com
  Is there an error in this question or solution?
Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.3 [Page 35]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 2.2 | Page 35

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

The floor of a rectangular hall has a perimeter 250 m. If the cost of panting the four walls at the rate of Rs.10 per m2 is Rs.15000, find the height of the hall.

[Hint: Area of the four walls = Lateral surface area.]


The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the
flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.


Find the volume of a cuboid whose  length =1.2 m, breadth = 30 cm, height = 15 cm.


Three cuboids of dimensions 5 cm × 6 cm × 7cm, 4cm × 7cm × 8 cm and 2 cm × 3 cm × 13 cm are melted and a cube is made. Find the side of cube.


Length, breadth and height of a cuboid shape box of medicine is 20 cm, 12 cm and 10 cm respectively. Find the surface area of vertical faces and total surface area of this box.


The volume of a cuboid is 3456 cm3. If its length = 24 cm and breadth = 18 cm ; find its height.


A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of the edge 2 cm; find the number of smaller cubes obtained.


Find the area of metal-sheet required to make an open tank of length = 10 m, breadth = 7.5 m and depth = 3.8 m.


The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ₹ 10 per m2 is ₹ 15,000, find the height of the hall.


External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm2 is Rs 11,750, find the dimensions of the box.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×