If the edge of a cube is tripled,
If the edge of a cube is tripled, then its volume increases to _______ times its original volume.
यदि किसी घन की कोर को तीन गुना कर दिया जाए, तो उसका आयतन, उसके मूल आयतन से _______ गुना हो जाता है।
Detailed Solution & Logic
Correct Answer:
27
Volume of a cube V = $ a^3 $
Original edge = a
New edge = 3a
Original volume = $ a^3 $
New volume = $ (3a)^3 = 27a^3 $
Increase factor = $ \frac{\text{New volume}}{\text{Original volume}} = $\frac{27a^3}{a^3} = 27 $
Answer = 27
Similar Practice Questions
A right circular cone is cut into two parts of equal height by a horizontal plane.
A right circular cone is cut into two parts of equal height by a horizontal...
The length of a rectangular pitch is 30 m more than its breadth. Its area is 18,271 m\(^2\). Its breadth (in m) is:
The length of a rectangular pitch is 30 m more than its breadth. Its area...
“Two circles touch each other at point O. AB is a common direct tangent to both circles touching them at points A and B respectively. If the radii of the circles are 9 cm and 4 cm, find AB.”
“Two circles touch each other at point O. AB is a common direct tangent to...
The area of a regular hexagon is 2048
The area of a regular hexagon is 2048\(\sqrt{3}\) cm\(^2\). What is the length(in cm) of...
If cot $\theta = \frac{14}{3}$, then what is the value of cos $ \theta$ ? ($0^\circ < \theta < 90^\circ )$
If cot $\theta = \frac{14}{3}$, then what is the value of cos $ \theta$ ?...
Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is $5 \sqrt{13}$ cm. What is the distance between the chords?
Two parallel chords on the same side of the centre of a circle are 12...
A shot-put iron sphere of diameter 2 cm is melted and cast into a solid cylinder of height 2 cm. What will be the diameter of the cylinder thus made?
A shot-put iron sphere of diameter 2 cm is melted and cast into a solid...