Question

MATHEMATICS
CLASS: VIII
Max. marks: 25
Time: 1 hr
Questions 1 to 8 carry Imark each
1. The highest common factor of 4x?y?, 12xy?, 16x’y is
[ 4x?y?, 4xy , 4xy?, 4x’y]
2. 26 -2° is equal to
(1/8, 74, 72,1)
3. The diagonals of a rhombus are of length 16cm and 12cm The area
of rhombus is
( 96cm, 46cm, 32cm?]
4. The value of expression ( 89 - 3º) X ( 8° + 3º) is equal to
[0, 1,8,3]
5. Express 0.0000346 in standard form
6. Factorise 4p - 90%
7. Find the volume of a cube with edge 6cm
8. Write the factors of 16x’y - 24xyz
Questions 9 to 12 carry 2 mark each
9. The area of a trapeziumis 216cm2. The lengths of the parallel sides
ae 13cm and 23cm respectively, find the distance between them​

Answer 1

Answer:

Volume of water in tank=30×20×6=3600cm

3

volume of cube=10

3

=1000cm

3

Volume of water in tank + Volume of cube=4600cm

3

height=h of water when volume is 4600 in the tank of length=30,breadth=20 is,

⇒30×20×h=4600

⇒h=7.667cm

Difference in height when cube submerged in tank=10−7.6667=2.333

Volume of water must be poured in tank=30×20×2.333=1399.98cm

3

=1.4litre