ICSE ICSE Class 8 - CISCE Question Bank Solutions

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.

The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm² and 462 cm³ respectively. Find, its diameter and its length.

Evaluate : (a+1) (a-1) (a²+1)

Evaluate : (a+b) (a−b) (a²+b²)

Evaluate : (2a−b) (2a+b) (4a²+b²)

Evaluate : (3−2x) (3+2x) (9+4x²)

Evaluate : (3x−4y) (3x+4y) (9x²+16y²)

Use the product (a + b) (a – b) = a² – b² to evaluate:
21 x 19

Use the product (a + b) (a – b) = a² – b² to evaluate:
33 x 27

Use the product (a + b) (a – b) = a² – b² to evaluate:
103 x 97

Use the product (a + b) (a – b) = a² – b² to evaluate:
9.8 x 10.2

Use the product (a + b) (a – b) = a² – b² to evaluate:
7.7 x 8.3

Use the product (a + b) (a – b) = a² – b² to evaluate:
4.6 x 5.4

Evaluate: (6 – xy) (6 + xy)