## ML Aggarwal Class 8 Solutions for ICSE Maths Model Question Paper 5

**Choose the correct answer from the given four options (1-2):**

Question 1.

In a pentagonal pyramid number of faces, vertices and edges are

(a) F = 6, V = 6, E = 10

(b) F = 7, V = 7, E = 12

(c) F = 6, V = 8, E = 12

(d) none of these.

Solution:

Question 2.

If the lateral surface area of a cube is 144 cm, then its volume is

(a) 36cm^{3}

(b) 216 cm^{3}

(c) 288 cm^{3}

(d) none of these

Solution:

Question 3.

Draw the top, front and side views of the given solid.

Solution:

Question 4.

The area of a trapezium is 96 cm^{2}. If the lengths of its two parallel sides are 14 cm and 10 cm, then find the perpendicular distance between parallel sides.

Solution:

Question 5.

In the given figure, C is the centre of the circle. The tangent to the circle of radius 6 cm from a point P outside the circle is of length 8 cm. Find the distance of the point P from the farthest point of the circumference.

Solution:

Question 6.

Construct a quadrilateral PQRS in which PQ = 5.5 cm, RS = 6.5 cm, PS = 4.4 cm, PR = 6.5 cm and QS = 7.1 cm.

Solution:

Question 7.

The length, breadth and height of cuboidal water tank is 7 m, 6 m and 2 m respectively. If 4200 litre of water is pumped out from the tank. Find the fall in water level in the tank.

Solution:

Question 8.

Construct a rhombus PQRS such that PQ = 5.4 cm and ∠P = 60°. Also, draw its lines of symmetry.

Solution:

Question 9.

A road roller has a diameter 84 cm and its width is 1.2 m. If it takes 500 complete revolutions to level a playground. Find the area of the playground. Also, find the cost of levelling the playground at a rate of 50 paise per m^{2}.

Solution:

Question 10.

Construct a rectangle ABCD, such that AB = 6.4 cm and BD = 7.6 cm.

Solution: