Question of Exercise 2

Mensuration of Class 8

Question
A rectangle is 8 cm longer than its width. A square of side x cm has been cut out of it. If x cm is half the width of the rectangle, then the remaining area is

Answer

Option 1

Option 2

Option 3

Option 4

Frequently Asked Questions

Example Find the cube root of 17576 through estimation

\nSolution: The given number is 17576"

 

Solution:

Explanation:

(1)  Split the number from right into the group of three digit numbers. We have 2 parts 17 and 576 .

(2) The unit digit of 576 is 6 . Hence the unit digit of required cube root is 6.

(3) Now, We have to estimate the cube root of 17.

(4) It lies between 8 and 27 i.e cube of 2 and 3 .23=8 and 33=27

Take the unit digit of the smallest number i.e 2 .

So, The cube root of 17576 is 26 .

Final Answer:

The cube root of 17576 is found to be 26 through estimation.

 

 

Construct a quadrilateral ABCD with AB

=4.5cm, BC =5.5cm, CD =4cm, AD =6cm and diagonal AC =7cm .

 

Solution:

Explanation:

Step 1. Draw a line segment BC=5.5cm.

Step 2. With B as center and radius =4.5cm, draw an arc.

Step 3. With C as center and radius =7cm, draw an arc to cut the arc in previous step at point A

Step 4. Join BA  and CA

Step 5. With C as center and radius =4cm, draw an arc.

Step 6. With A as center and radius =6cm, draw an arc to cut the arc in previous step at point D

Step 7. Join AD  and CD

ABCD is the required quadrilateral.

quadrilateral1

Final Answer:

Hence, Required quadrilateral ABCD is attached below;

quadrilateral2

Solve the following equation

15(x-1)+4(x+3)=2(7+x)

 

Solution:

Explanation:

Given, 

equation3

Final Answer:

Hence, After solving the equation the value of x is 1.

The number of corners in a cube are

A: 4

B: 6

C: 8

D: 12

Solution:

Explanation:

A Cube is a 3-dimensional shape and the vertex of the cube is the end point.

corners

The corners in a cube are A, B, C, D, E, F, G, H

Number of Corners in a cube are 8.

Final Answer:

Hence, Option (c) is correct. The number of corners in a cube are 8.

 

 

Explain why a rectangle is a convex quadrilateral

Answer: Both of its diagonals lie at its exterior.

A: True

B: False

 

Solution:

Explanation:

A rectangle is a convex quadrilateral since its vertex are raised and both of its diagonals lie in its interior.

This implies that the answer Both of its diagonals lie at its exterior is True.

Final Answer:

Hence, Option (A) is correct. The Answer “Both of its diagonals lie at its exterior” is true.

 

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