Question

A box is 2cm long 90cm wide and 70cm high.How many soap cakes can be put in it if each cake measures 5cm by 4cm by 20mm?

Answer 1

Hey there !!

Let l b h be the dimensions of the Soap and L , B , H be of Box ,

Given that -


Dimensions of the Soap

l = 5 cm

b = 4 cm

h = 20 mm , = 20/10 = 2 cm


Dimensions of the Box -

L = 2 cm

B = 90 cm

H = 70 cm


$number \: of \: soap \: cakes \: can \: \: be \: put \: in \: side \: the \: box \: = \frac{2 \times 90 \times 70}{5 \times 4 \times \: \times 2 \: } \\ \\ = \frac{90 \times 14}{4} \\ \\ = 45 \times 7 \\ \\ = \: \: 315$
Hence there
315 Soap cakes can be placed


Hope this helps u !!

Answer 2

Hey there !!

Let l b h be the dimensions of the Soap and L , B , H be of Box ,

Given that -

Dimensions of the Soap

l = 5 cm

b = 4 cm

h = 20 mm , = 20/10 = 2 cm

Dimensions of the Box -

L = 2 cm

B = 90 cm

H = 70 cm

$\begin{lgathered}number \: of \: soap \: cakes \: can \: \: be \: put \: in \: side \: the \: box \: = \frac{2 \times 90 \times 70}{5 \times 4 \times \: \times 2 \: } \\ \\ = \frac{90 \times 14}{4} \\ \\ = 45 \times 7 \\ \\ = \: \: 315\end{lgathered}$

numberofsoapcakescanbeputinsidethebox=

5×4××2

2×90×70

=

4

90×14

=45×7

=315

Hence there

315 Soap cakes can be placed

Hope this helps u !!