हिंदी

If the length of the diagonal of a cube is 53 cm, find the total surface area. Length of the diagonal of the cube = □ So, □ = 53 ⇒ Side = □ Total surface area of cube Hence, the total surface - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

If the length of the diagonal of a cube is `5sqrt(3)` cm, find the total surface area.

Length of the diagonal of the cube = `square`

So, `square` = `5sqrt(3)`

⇒ Side = `square`

Total surface area of cube = `square`

= `square` × `square` × `square`

= `square` cm2

 Hence, the total surface area is `square`.

रिक्त स्थान भरें
योग

उत्तर

Length of the diagonal of the cube = `bb(5sqrt(3) cm)` 

So, `bb("Side" xx sqrt(3))` = `5sqrt(3)`

⇒ Side = 5

Total surface area of cube = 6 × Side2

= 6 × 5 × 5

= 150 cm2

 Hence, the total surface area is 150 m2.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2024-2025 (March) Model set 1 by shaalaa.com

संबंधित प्रश्न

Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.


A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3.


In a rectangular park of dimensions 50 m × 40 m, a rectangular pond is constructed so that the area of grass strip of uniform width surrounding the pond would be 1184 m2. Find the length and breadth of the pond ?


A girl empties a cylindrical bucket, full of sand, of base radius 18 cm and height 32 cm, on the floor to form a conical heap of sand. If the height of this conical heap is 24 cm, then find its slant height correct upto one place of decimal?


A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. `[\text{Use}pi 22/7]`


Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular height is 5 cm.


A cubic cm of gold is drawn into a wire 0.1 mm in diameter, find the length of the wire.


The radius of the base of a right circular cone of semi-vertical angle α is r. Show that its volume is \[\frac{1}{3} \pi r^3\] cot α and curved surface area is πr2 cosec α.

 

The radii of the ends of a bucket 30 cm high are 21 cm and 7 cm. Find its capacity in litres and the amount of sheet required to make this bucket.


If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is


A military tent of height 8.25 m is in the form of a right circular cylinder of base diameter 30 m and height 5.5 m surmounted by a right circular cone of same base radius. Find the length of canvas used in making the tent, if the breadth of the canvas is 1.5 m.


A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 98 cm and the diameter of each of its hemispherical ends is 28 cm, find the cost of polishing the surface of the solid at the rate of 15 paise per sq cm.


The radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r < 14). If the volume of bucket is 5390 cm3, then find the value of r.


cylindrical pencil sharpened at one end is a combination of


The length of the longest pole that can be kept in a room (12 m × 9 m ×8 m) is


The area of the base of a right circular cone is 154 cm2 and its height is 14 cm. Its curved surface area is


The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. Find the curved surface area of the bucket.


The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is ______.


What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units?


Four horses are tethered with equal ropes at 4 corners of a square field of side 70 metres so that they just can reach one another. Find the area left ungrazed by the horses.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×