Question

(iv) Find the distance between the points R(0, -3) and S(0,5/2)​

Answer 1

Answer:

distance ,= sq.root ( 0-0)2+(5/2+3)2

= sq.root (11/2)2

11/2

Answer 2

Answer:

Number of cubes which can be placed in given cuboid is 450.

Step-by-step explanation:

Given :-

Dimensions of cuboid are 60 cm x 54 cm x 30 cm.

Side(edge) of small cube is 6 cm.

To find :-

Number of small cubes which can be placed in the given cuboid.

Solution :-

Here, If we want to place small cubes in cuboid then first we need to know volume of cuboid and volume of cubes.

So,

We know,

Volume of cuboid = lbh

[l is length, b is breadth and h is height of cuboid]

l = 60 cm

b = 54 cm

h = 30 cm

Put all values in formula :

\longrightarrow⟶ Volume = 60 × 54 × 30

\longrightarrow⟶ Volume = 97200

Volume of cuboid is 97200 cm³.

And,

Volume of cube = (edge)³

Edge = 6 cm

Put edge in formula :

\longrightarrow⟶ Volume = (6)³

\longrightarrow⟶ Volume = 216

Volume of one small cube is 216 cm³.

Now,

\sf Number \: of \: cubes = \dfrac{Volume \: of \: cuboid}{Volume \: of \: one \: cube}Numberofcubes=VolumeofonecubeVolumeofcuboid

\leadsto⇝ 97200/216

\leadsto⇝ 450

\bold{\therefore}∴ Number of cubes which can be placed in given cuboid is 450