मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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 ?

Advertisements
Advertisements

प्रश्न

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 ?

बेरीज
Advertisements

उत्तर

Let the length of the box be l unit.

Breadth of the box, b = 6 units

Height of the box, h = 5 units

Total surface area of the box = 500 square units

∴ 2(lb+ bh + hl) = 500 square units

⇒ l x 6 + 6 x 5 + 5 x l = `500/2`

⇒ 6l + 30 + 5l = 250

⇒ 11 l = 250 - 30

⇒ 11 l = 220

⇒ l = `220/11`

⇒ l = 20 units

Thus, the length of the box is 20 units.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Surface Area and Volume - Practice Set 9.1 [पृष्ठ ११५]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 9 Surface Area and Volume
Practice Set 9.1 | Q 2. | पृष्ठ ११५

संबंधित प्रश्‍न

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost
of white washing the walls of the room and the ceiling at the rate of Rs. 7.50 m2.


The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost ofcovering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs.1248. Find the dimensions of the box.


The paint in a certain container is sufficient to paint on area equal to 9.375 m2. How manybricks of dimension 22.5 cm × 10 cm × 7.5 cm can be painted out of this container?


A cuboidal block of solid iron has dimensions 50 cm, 45 cm and 34 cm. How many cuboids of size 5 cm by 3 cm by 2 cm can be obtained from this block? Assume cutting causes no wastage.


The weight of a metal block of size 5 cm by 4 cm by 3 cm is 1 kg. Find the weight of a block of the same metal of size 15 cm by 8 cm by 3 cm.


How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?


An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.


A solid rectangular piece of iron measures 6 m by 6 cm by 2 cm. Find the weight of this piece, if 1 cm3 of iron weighs 8 gm.


Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.


A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs 5 per metre sheet, sheet being 2 m wide.


The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs 8 and Rs 9.50 per m2 is Rs. 1248. Find the dimensions of the box.


10 cubic metres clay is uniformly spread on a land of area 10 ares. the rise in the level of the ground is


The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm3; find its dimensions. Also, find the total surface area of the cuboid.


Find the total surface area of the cube having the following side.
5.5 m

The length and breadth of a cuboid are 20 cm and 15 cm respectively. If its volume is 2400 cm3, find its height.


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


A closed box is made of wood 5 mm thick. The external length, breadth and height of the box are 21 cm, 13 cm and 11 cm respectively. Find the volume of the wood used in making the box.


The dimensions of a hall is 10 m × 9 m × 8 m. Find the cost of white washing the walls and ceiling at the rate of ₹ 8.50 per m2 


Two cuboids with equal volumes will always have equal surface areas.


A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×