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Multiply: `-2/3"a"^7"b"^2` and `-9/4"a""b"^5`
Concept: undefined >> undefined
Multiply: `2"a"^3-3"a"^2"b"` and `-1/2"ab"^2`
Concept: undefined >> undefined
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Multiply: `2"x"+1/2"y"` and `2"x"-1/2"y"`
Concept: undefined >> undefined
A cube of edge 6 cm and a cuboid with dimensions 4 cm x x cm x 15 cm are equal in volume. Find:
(i) the value of x.
(ii) the total surface area of the cuboid.
(iii) the total surface area of the cube.
(iv) which of these two has a greater surface and by how much?
Concept: undefined >> undefined
The height of a rectangular solid is 5 times its width and its length is 8 times its height. If the volume of the wall is 102.4 cm3, find its length.
Concept: undefined >> undefined
The length, breadth, and height of a cuboid (rectangular solid) are 4 : 3: 2.
(i) If its surface area is 2548 cm2, find its volume.
(ii) If its volume is 3000 m3, find its surface area.
Concept: undefined >> undefined
The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find:
(i) the volume
(ii) the total surface area.
Concept: undefined >> undefined
Find the curved surface area and the total surface area of a right circular cylinder whose height is 15 cm and the diameter of the cross-section is 14 cm.
Concept: undefined >> undefined
Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm2.
Concept: undefined >> undefined
The curved surface area of a cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Concept: undefined >> undefined
The ratio between the curved surface area and the total surface area of a cylinder is 1: 2. Find the ratio between the height and the radius of the cylinder.
Concept: undefined >> undefined
Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.
Concept: undefined >> undefined
The total surface area of a cylinder is 6512 cm2 and the circumference of its bases is 88 cm. Find:
(i) its radius
(ii) its volume
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find:
- The curved surface area of the pillar.
- cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m2.
Concept: undefined >> undefined
If radii of two cylinders are in the ratio 4 : 3 and their heights are in the ratio 5: 6, find the ratio of their curved surfaces.
Concept: undefined >> undefined
A cuboid is 8 m long, 12 m broad and 3.5 high, Find its
(i) total surface area
(ii) lateral surface area
Concept: undefined >> undefined
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
Concept: undefined >> undefined
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ₹ 10 per m2 is ₹ 15,000, find the height of the hall.
Concept: undefined >> undefined
The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?
Concept: undefined >> undefined
