Question of Exercise 5

Mensuration of Class 8

Question
A rectangle block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weight in kg, if ice weights of the weight of the same volume of water and 1 cm3 of water weight 1 gm.

Frequently Asked Questions

Factorize x2+x-6

Solution:

Explanation:

On factoring the equation, we get,

x2+x-6

x2+3x-2x-6

x(x+3)-2(x+3)

(x+3)(x-2)

Final Answer:

The simplified form of the equation x2+x-6 is (x+3)(x-2).

 

 

 

Factorize x^2-2x-8

Solution:

Explanation:

We have;

x2-2x-8

x2-4x+2x-8

x(x-4)+2(x-4)

(x-4) (x+2)

x=4,x=-2

Final answer:

Hence, we factorized the given expression as, x=4,x=-2

 

 

The opposite angles of a parallelogram are

are (3x - 2) and (x + 48) Find the measure of each angle of the parallelogram.

 

Solution:

Explanation:

Let the parallelogram be ABCD & the angles of parallelogram be <A,<B,<C & <D

From the given question, opposite angles of a parallelogram are (3x-2)  &  (x+48).

Let <A=3x-2  &  <B=x+48

As we know that, “the opposite angles of a parallelogram are always equal”. Therefore, we can write;

(3x-2)=(x+48)

⇒3x-x=48+2

⇒2x=50

⇒x=50/2

⇒x=25

Substituting the value of x in 3x-2, we get;

3(25)-2

=75-2

=73º

⇒<A=<C=73

Finding the measure of other two angles:

We know that, the sum of adjacent angles of a parallelogram is equal to 180.

∴ <A+<B=180º

⇒73º+<B=180º

⇒<B=180º-73º

⇒<B=107º

∴ <D=107º

Therefore, the measure of each angle of the parallelogram is <A=73º,<B=107º,<C=73º,<D=107º.

Final answer:

Hence, we measured all the angles of parallelogram as;<A=73º,<B=107º,<C=73º,<D=107º.

 

 

In the given figure the value of x is

valuex

Solution:

Explanation:-

valuex1

Final answer:-

The value of x is 125º.

 

Estimate the value of square root

square root :√22

Solution:

digit at one

digit at one1

Final Answer: The estimated square root of √22 is 4.690.

 

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