ICSE ICSE Class 8 - CISCE Question Bank Solutions for Mathematics

The parallel sides of a trapezium are in ratio 3: 4. If the distance between the parallel sides is 9 dm and its area is 126 dm²; find the lengths of its parallel sides.

The two parallel sides and the distance between them are in the ratio 3: 4: 2. If the area of the trapezium is 175 cm², find its height.

The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths of its parallel sides.

Find the area of the trapezium ABCD in which AB || DC, AB = 18 cm, ∠B = ∠C = 90°, CD = 12 cm and AD = 10 cm.

Find the volume and the total surface area of a cuboid, whose :
length = 15 cm, breadth = 10 cm and height = 8 cm.

Find the volume and the total surface area of a cuboid, whose :

l = 3.5 m, b = 2.6 m and h = 90 cm

The volume of a cuboid is 3456 cm³. If its length = 24 cm and breadth = 18 cm ; find its height.

The volume of a cuboid is 7.68 m³. If its length = 3.2 m and height = 1.0 m; find its breadth.

The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m³; find its length.

The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm³; find its dimensions. Also, find the total surface area of the cuboid.

The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm²; find its dimensions. Also, find the volume of the cuboid.

Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.

Find the length of each edge of a cube, if its volume is :
(i) 216 cm³
(ii) 1.728 m³

The total surface area of a cube is 216 cm2. Find its volume.

A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.

A wall 9 m long, 6 m high and 20 cm thick, is to be constructed using bricks of dimensions 30 cm, 15 cm, and 10 cm. How many bricks will be required?

A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of the edge 2 cm; find the number of smaller cubes obtained.

A closed box is cuboid in shape with length = 40 cm, breadth = 30 cm and height = 50 cm. It is made of a thin metal sheet. Find the cost of metal sheet required to make 20 such boxes, if 1 m² of metal sheet costs Rs. 45.

Four cubes, each of edge 9 cm, are joined as shown below :

Write the dimensions of the resulting cuboid obtained. Also, find the total surface area and the volume

How many persons can be accommodated in a big-hall of dimensions 40 m, 25 m, and 15 m; assuming that each person requires 5 m³ of air?