Question
If each side of a cube is doubled, then its volume:
✓
Answer
Let the original side be $'x\ ' \ cm$
$\therefore$ Original volume $= x^3 \ cm^3$
Now,
New side $= 2x \ cm$
$\therefore$ New volume $= (2x)^3$
$= 8x^3 \ cm^3$
So, the volume becomes $8$ times.
$\therefore$ Original volume $= x^3 \ cm^3$
Now,
New side $= 2x \ cm$
$\therefore$ New volume $= (2x)^3$
$= 8x^3 \ cm^3$
So, the volume becomes $8$ times.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $\triangle\text{PQR}≡\triangle\text{EFD},$ then $\angle\text{E}=$
→If the diameter of the base of a closed right circular cylinder be equal to its height h, then its whole surface area is:
The value of $\Big\{8^{-\frac{4}{3}}\div2^{-2}\Big\}^{\frac{1}{2}}$ is:
→The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94º and 126º. Then, $\angle\text{BAC}=$
→- 94º
- 54º
- 40º
- 44º
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if:
If the point (3, 4) lies on the graph of 3y = ax + 7 then the value of a is:
→- $\frac{2}{5}$
- $\frac{5}{3}$
- $\frac{3}{5}$
- $\frac{2}{7}$
If the line represented by the equation 3x + ky = 9 passes through the points (2, 3), then the value of 'k' is:
In figure, if AB || CD, then x =
- 100
- 105
- 110
- 114
Write the correct answer in the following:
If $49\text{x}^2 -\text{b}=\Big(7\text{x}+\frac{1}{2}\Big)\Big(7\text{x}-\frac{1}{2}\Big),$ the value of b is.
→If $49\text{x}^2 -\text{b}=\Big(7\text{x}+\frac{1}{2}\Big)\Big(7\text{x}-\frac{1}{2}\Big),$ the value of b is.
- $0$
- $\frac{1}{\sqrt2}$
- $\frac{1}{4}$
- $\frac{1}{2}$
If the area of an equilateral triangle is $16\sqrt{3}\text{ cm}^2,$ then the perimeter of the triangle is:
→