ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.

The given figure shows a rhombus ABCD in which angle BCD = 80°. Find angles x and 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.

A cuboid is 8 m long, 12 m broad and 3.5 high, Find its
(i) total surface area
(ii) lateral surface area

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.

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.

The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?

In a building, there are 24 cylindrical pillars. For each pillar, the radius is 28 m, and the height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m².