Question

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.
A) 50%
B) 40%
C) 30%
D) 20%

Answer 1

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.
A) 50%✔️✔️
B) 40%
C) 30%
D) 20%

SOLUTION

by 50%
If L=Length, B=Breadth & H=height,so origional Volume V1= L*B*H1 
Assuming L & B remaining same
New Volume after 50% increase=L*B*H2=(L*B*H1)150/100
H2=1.5H1, So increase in height=50%

Answer 2

Explanation:

Let l, b the sides of the base, so that the area of the base = lb
remains constant.
Let ‘h’ be the height of the solid.
Volume of the solid, V = l× b× h.
Since the volume is to be increased by 50%