Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Simplify : (2x − 1)(2x + 1)(4x² + 1)(16x⁴ + 1)

Simplify : (4m − 8n)² + (7m + 8n)²

Simplify : (2.5p − 1.5q)² − (1.5p − 2.5q)²

Simplify :  (m² − n²m)² + 2m³n²

Show that:  (3x + 7)² − 84x = (3x − 7)²

Show that:  (9a − 5b)² + 180ab = (9a + 5b)² 

Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]

Show that:  (4pq + 3q)² − (4pq − 3q)² = 48pq²

Show that:  (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0

Find the volume of a cuboid whose length = 12 cm, breadth = 8 cm, height = 6 cm.

Find the volume of a cuboid whose  length =1.2 m, breadth = 30 cm, height = 15 cm.

Find the volume of a cuboid whose length = 15 cm, breadth = 2.5 dm, height = 8 cm.

Find the height of a cuboid of volume 100 cm³, whose length and breadth are 5 cm and 4 cm respectively.

A cuboidal vessel is 10 cm long and 5 cm wide. How high it must be made to hold 300 cm³ of a liquid?

A milk container is 8 cm long and 50 cm wide. What should be its height so that it can hold 4 litres of milk?

What will happen to the volume of a cuboid if its Length is doubled, height is same and breadth is halved?

What will happen to the volume of a cuboid if its Length is doubled, height is doubled and breadth is sama?

Find the weight of solid rectangular iron piece of size 50 cm × 40 cm × 10cm, if 1 cm³ of iron weighs 8 gm.