Question of Mensuration solved questions

# Question A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. find the volume of water that runs into the sea per minute.

Option 1 4600m3

Option 2 4000m3

Option 3 4500m3

Option 4 3500m3

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 .

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

Hence, Required quadrilateral ABCD is attached below;

Solve the following equation

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

Solution:

Explanation:

Given,

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.

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

Number of Corners in a cube are 8.

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.