हिंदी

How Many Cubes of 10 Cm Edge Can Be Put in a Cubical Box of 1 M Edge? - Mathematics

Advertisements
Advertisements

प्रश्न

How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?

योग
Advertisements

उत्तर

We have,

Edge of the cube, a = 10 cm and 

Now,

The number of cubes that can be put in the box `= ("Volume of the cubical box")/"Volume of the cube"`

`="l"^3/"a"^3`

`=100^3/10^3`

= 10

= 1000

so the number of cubes that can be put in the cubical box is 1000.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Volume and Surface Area of Solids - Exercise [पृष्ठ ९१४]

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Exercise | Q 3 | पृष्ठ ९१४

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

In Fig. 5, from a cuboidal solid metallic block, of dimensions 15cm ✕ 10cm ✕ 5cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block [Use

`pi=22/7`]


From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm

[use `pi = 22/7`]


A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are 5 cm and 13 cm respectively.The radii of the hemispherical and conical parts are the same as that of the cylindrical part.Find the surface area of the toy if the total height of the toy is 30 cm.


A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight, a conical hole is drilled in the cylinder. The conical hole has a radius of `3/2` cm and its depth is `8/9 `cm. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape.


From a solid cylinder of height 7 cm and base diameter 12 cm, a conical cavity of same height and same base diameter is hollowed out. Find the total surface area of the remaining solid. [User `pi22/7`]


A cylindrical bucket 28 cm in diameter and 72 cm high is full of water. The water is emptied into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level in the tank.


Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?


A solid sphere of radius r is melted and cast into the shape of a solid cone of height r, the radius of the base of the cone is


The volume of a hemisphere is 2425 `1/2` cm. Find its curved surface area.


A rocket is in the form of a circular cylinder closed at the lower end and a cone of the same radius is attached to the top. The radius of the cylinder is 2.5 m, its height is 21 m and the slant height of the cone is 8 m. Calculate the total surface area of the rocket.


Five identical cubes, each of edge 5 cm, are placed adjacent to each other. Find the volume of the resulting cuboid.


How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm × 12 cm ?


Find the ratio of the volume of a cube to that of a sphere which will fit inside it.


If the areas of three adjacent faces of a cuboid are x, y and z, respectively, the volume of the cuboid is ______.


The shape of a gilli, in the gilli-danda game (see figure), is a combination of ______.


Two cones with same base radius 8 cm and height 15 cm are joined together along their bases. Find the surface area of the shape so formed.


There are two identical solid cubical boxes of side 7 cm. From the top face of the first cube a hemisphere of diameter equal to the side of the cube is scooped out. This hemisphere is inverted and placed on the top of the second cube’s surface to form a dome. Find

  1. the ratio of the total surface area of the two new solids formed
  2. volume of each new solid formed.

3 cubes each of 8 cm edge are joined end to end. Find the total surface area of the cuboid.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×