English

A Cuboid Has Total Surface Area of 372 Cm2 and Its Lateral Surface Area is 180 Cm2, Find the Area of Its Base.

Advertisements
Advertisements

Question

A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.

Short/Brief Note
Advertisements

Solution

We have,

Total surface area of the cuboid `(A) = 372 cm^2`

Lateral surface area of the cuboid `(A) = 180 cm^2`

Let,

a →Area of the base

We know that,

A = A' + 2a

`a = (A-A')/2`

  `=(372-180)/2`

  `=192/2`

   =96 cm2

Area of the base is  96 cm2

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

R.D. Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.3 | Q 5 | Page 35

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. How much of tape is needed for all the 12 edges?


The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1 .2 m and each window 1 .5 m by I m. Find the cost of painting the walls at Rs. 3.50 per square metre.


A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?


A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.


The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square metre is Rs 340.20 and the cost of matting the floor at 85 paise per square metre is Rs 91.80. Find the height of the room.


If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is


Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?


Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.


The sum of the radius and the height of a cylinder is 37 cm and the total surface area of the cylinder is 1628 cm2. Find the height and the volume of the cylinder.


A square plate of side 'x' cm is 4 mm thick. If its volume is 1440 cm3; find the value of 'x'.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×