When each side of a cube is increased by 2cm, the volume is increased by $1016 c m^{3}$ . Find the side of the cube. If each side of it is dereased by 2 cm, by how much will the volume decrease?

12 cm,

729 c m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 cm,

512 c m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 cm,

729 c m^{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12 cm,

728 c m^{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 12 cm, $728 c m^{3}$
$(x + 2)^{3} - x^{3} = 1016 \Rightarrow x = 12 c m a n d x^{3} - (x - 2)^{3} = (12)^{3} - (10)^{3} = 728$

Suggest Corrections

Similar questions

Q. When length of each side of a cube is increased by 3 cm, its volume is increased by 2457

c m^{3}

. Find its side. How much will its volume decrease, if length of each side of it is reduced by 20% ?

Q. If the edge of a cube is increased by

2 c m

, the volume will increase by

488 {c m}^{2}

. What then will be the new length of each edge of the cube

Length of each side of a cube is increased by 25%. Then the percentage increase in volume will be ___.

If each side of an equilateral triangle is increased by 2 cm, then its area increases by 3√3 cm². The length of its each side and its area are respectively equal to

Q. If each side of a unit cube increases by 1 cm, then the volume of the new cube will be times the original volume.

Join BYJU'S Learning Program

When each side of a cube is increased by 2cm, the volume is increased by 1016cm3. Find the side of the cube. If each side of it is dereased by 2 cm, by how much will the volume decrease?

The correct option is D 12 cm, 728cm3(x+2)3−x3=1016⇒x=12cmandx3−(x−2)3=(12)3−(10)3=728

When each side of a cube is increased by 2cm, the volume is increased by $1016 c m^{3}$ . Find the side of the cube. If each side of it is dereased by 2 cm, by how much will the volume decrease?

The correct option is D 12 cm, $728 c m^{3}$
$(x + 2)^{3} - x^{3} = 1016 \Rightarrow x = 12 c m a n d x^{3} - (x - 2)^{3} = (12)^{3} - (10)^{3} = 728$