# IGCSE Mathematics Paper-1: Specimen Questions with Answers 17 - 18 of 175

## Question number: 17

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Essay Question▾

### Describe in Detail

The diagram shows a cube of side ‘a’ of 6 cm. The Cube of Side in the Diagram. Find the below given calculations by using given values of cube.

(a) Calculate the area of the cube.

(b) Calculate the volume of the cube in meter.

### Explanation

Here, side a = 6 cm.

(a) Area of cube:

(b) Volume of the cube:

Now,

So,

So,

## Question number: 18

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Essay Question▾

### Describe in Detail

Solve Two Triangles Made by Side Splitter Theorem Find the below given calculations using given lengths and angles

In the diagram BC is parallel to DE.

(a) Complete the following statement; Triangle ABC is ________ to triangle ADE.

(b) AB = 12 cm, BC = 8 cm and DE = 10 cm. Find length of AD.

(c) Angle ABC = . Find size of the reflex angle at D.

### Explanation

Here,

(a) BC is parallel to DE, which means it is a side splitter theorem.

In which.

So, Triangle ABC is similar to triangle ADE.

(b) AB = 12 cm, BC = 8 cm and DE = 10 cm.

Now,

So, for

For

So, from (I) and (II),

(c) Angle ABC = . So, size of the reflex angle at D is similar to angle ABC because and so both triangles are similar.

So, size of reflex angle at D is