Volume

Volume of 3 -D shapes 

ARE YOU READY 🤔

The fundamentals : What is volume ?

• The volume is the space occupied by an object in a 3 D plane

• In simple words , volume of a solid I'd the number of cubic units contained in its interior

REMEMBER : FORMULAE

• Volume of cuboid : ( lbh ) where l = length , b=base , h = height

• volume of cube : (l³) where l is the side of the square . Remember 🙄 All sides of a square are the same

• Volume of cylinder : 

• And that's all 😶

ARE U READY

RAPID FIRE 🔥

Fill in the Blanks

If infinite circles are stacked over each other , what is the solid shape that will be obtained ?

Multiple Choice

If infinite squares are stacked over each other , what will be the solid shape obtained ?

• Cylinder

• Cuboid

• Prism

• Cube

Multiple Select

Finally , if many rectangles are stacked over each other what's the solid shape obtained ? ( more than one ☝️ answer might be right 🤠)

• Rectangular prism

• Tetrahedron

• Cuboid

• Cylinder

GENIUS

Now that you have cleared the basic , here come s the tough ones

Multiple Choice

The dimensions of a cuboid are in the ratio of 5:4:2 . Finds its dimensions , if it's volume is 5000 cubic units

• L = 25 , B= 28 H= 20

• L = 25 , B= 20H= 30

• L = 25 , B= 15 H= 20

• L=25 , B= 20 H=10

Multiple Choice

The capacity of a cuboidal water tank is 50000 liters. Find the breadth of the tank, if its length and depth are

respectively 2.5 m and 10 m

• 3m

• 10 m

• 2 m

• 5 m

Multiple Choice

The cube A has side thrice as long as that of cube B . The ratio of volume of cube a to cube b is

• 26:1

• 26:2

• 27:2

• 27:1

Multiple Choice

Number of cubes of edge 5 m that can be cut from a cuboid of dimension 25 m x 15 m x 5 m is

• 125

• 15

• 375

• 75

Multiple Choice

If two circular cylinders of equal volumes have their heights in the ratio of 1:2 , then the ratio of radii is

• 1:2

• 2:1

• $1:\sqrt{2}$

• $\sqrt{2}:1$

Multiple Choice

If the volume of a right solid cylinder is of height 14 cm is 686 $\pi$  cm^2 . Then it's total surface area will be 

• 924  $cm\ ^2$  

• 308  $Cm^2$  

• 616

• 924

Multiple Choice

Observe the pic and answer the question below

1. The volume of the wood left is _____ cm ³

• 49500

• 63000

• 56400

• 13500

Multiple Choice

Three metallic cubes of sides 3 cm , 4 cm,and 5 cm are melted and a new cube is formed . Find the side of the new cube

• 6

• 7 cm

• 6 cm

• 7

That's the end of the question s