Please select a subject first
Advertisements
Advertisements
Five identical cubes, each of edge 5 cm, are placed adjacent to each other. Find the volume of the resulting cuboid.
Concept: undefined >> undefined
How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm × 12 cm ?
Concept: undefined >> undefined
Advertisements
Find the ratio of the volume of a cube to that of a sphere which will fit inside it.
Concept: undefined >> undefined
Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted and recast into a single large cube. Find the edge of the new cube formed.
Concept: undefined >> undefined
The shape of the gilli used in a gilli-danda game is a combination of
Concept: undefined >> undefined
A plumbline (sahul) is a combination of
Concept: undefined >> undefined
In a right circular cone, the cross-section made by a plane parallel to the base is a
Concept: undefined >> undefined
If the areas of three adjacent faces of a cuboid are x, y and z, respectively, the volume of the cuboid is ______.
Concept: undefined >> undefined
The volume of a hemisphere is 19404 cm3. The total surface area of the hemisphere is
Concept: undefined >> undefined
Match the following columns:
| Column I | Column II |
| (a) The radii of the circular ends of a bucket, in the form of the frustum of a cone of height 30 cm, are 20 cm and 10 cm respectively. The capacity of the bucket is ........cm3. |
(p) 2418π |
| (b) The radii of the circular ends of a conical bucket of height 15 cm are 20 and 12 cm respectively. The slant height of the bucket is ........ cm. |
(q) 22000 |
| (c) The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. The total surface area of the bucket is .........cm2. |
(r) 12 |
| (d) Three solid metallic spheres of radii 3 cm, 4 cm and 5 cm are melted to form a single solid sphere. The diameter of the resulting sphere is ........ cm. |
(s) 17 |
Concept: undefined >> undefined
Find the point on the y-axis which is equidistant from the points (S, - 2) and (- 3, 2).
Concept: undefined >> undefined
The line segment joining the points A(2, 1) and B (5, - 8) is trisected at the points P and Q such that P is nearer to A. If P also lies on the line given by 2x - y + k= 0 find the value of k.
Concept: undefined >> undefined
Find the coordinates of point A, where AB is a diameter of the circle with centre (–2, 2) and B is the point with coordinates (3, 4).
Concept: undefined >> undefined
Find the point on the y-axis which is equidistant from the points (5, −2) and (−3, 2).
Concept: undefined >> undefined
A bucket open at the top is in the form of a frustum of a cone with a capacity of 12308.8 cm3. The radii of the top and bottom of the circular ends of the bucket are 20 cm and 12 cm respectively. Find the height of the bucket and also the area of the metal sheet used in making it. (Use π = 3.14)
Concept: undefined >> undefined
Write the number of zeroes in the end of a number whose prime factorization is 22 × 53 × 32 × 17.
Concept: undefined >> undefined
The point R divides the line segment AB, where A(−4, 0) and B(0, 6) such that AR=34AB.">AR = `3/4`AB. Find the coordinates of R.
Concept: undefined >> undefined
Let ∆ ABC ∽ ∆ DEF and their areas be respectively, 64 cm2 and 121 cm2. If EF = 15⋅4 cm, find BC.
Concept: undefined >> undefined
A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere and hence find the surface area of this sphere.
Concept: undefined >> undefined
A container opened at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk which can completely fill the container, at the rate of ₹ 50 per litre. Also find the cost of metal sheet used to make the container, if it costs ₹ 10 per 100 cm2. (Take π = 3⋅14)
Concept: undefined >> undefined
