Question of Exercise 5

Mensuration of Class 8

Question
Eight identical cuboidal wooden blocks are staked one on top of the other. The total volume of the solid so formed is 128 cm3. If the height of each block is 1 cm and the base is a square, find the dimensions of each block.

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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