Question

Q.In a group of 3 girls,one girl forgot to bring herlunch so, other two girls decided to share theirlunch with her lunch box.First girl lunch box is inshape of cuboidal box measures 6cm*8cm*15cm and ofsecond girls lunchbox is cylindrically shaped havingradius 7 cm and height 15cm which box has moresurface area and which box has more volume?whichvalue is depicted by girls?

Answer 1

Hey user ,

Below is the answer

# First we will find the surface area of both the lunch boxes .

Let the surface area of lunch box of girl one be ' S '
And
Let the surface area of lunch box of girl two be ' S, '

So ,

S = Total surface area of a cuboid
S = 2( length x breadth + breadth x height +
height + length )
S = 2 ( 6 x 8 + 8 x 15 + 15 x 6 )
S = 2 ( 48 + 120 + 90 )
S = 2 ( 258 )
S = 516 cm^2



And ,

S, =
$2\pi \times radius \times height$
S, = 2 x 3.14 x 7 x 15
S, = 44 x 30
S, = 1320cm^2



Therefore ,

1320^2 > 516cm^2

S, > S up

# Second we will find the volume of both the lunch boxes

Let the volumes be ' V1 ' and ' V2 ' .

So ,

V1 = length x breadth x height
V1 = 6 x 8 x 15
V1 = 720cm^3


And ,

V2 =
$\pi \times {radius}^{2} \times height$

V2 = 3.14 x 7 x 7 x 15
V2 = 22 x 105
V2 = 2310cm^3


Therefore ,

2310cm^3 > 720cm^3

V2 > V1

# Thirdly , the value shown by both the girls is that they are having a caring and sharing attitude towards there friends.