ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

Multiply: a², ab and b²

Multiply: abx, −3a²x and 7b²x³

Multiply: −3bx, −5xy and −7b³y²

Multiply: `-3/2"x"^5"y"^3` and `4/9"a"^2"x"3"y"`

Multiply: `-2/3"a"^7"b"^2` and `-9/4"a""b"^5`

Multiply: `2"a"^3-3"a"^2"b"` and `-1/2"ab"^2`

Multiply: `2"x"+1/2"y"` and `2"x"-1/2"y"`

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?

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.

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.

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.

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.

Find the height of the cylinder whose radius is 7 cm and the total surface area is 1100 cm².

The curved surface area of a cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder.

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.

Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.

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

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.

A cylindrical pillar has a radius of 21 cm and a height of 4 m. Find:

1. The curved surface area of the pillar.
2. cost of polishing 36 such cylindrical pillars at the rate of ₹12 per m².

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.