Question

21. A soap cake is of size 8 cm 5 cm 4 cm. The number of such, soap cakes that can be packed in a box measuring 56 cm 35 cm 28 cm is

Answer 1

volume of soap cake is equals to 8×5×4=160cu cm

volume of box is equals to 56×35×28=54880cu cm

therefore the number of shops that could fit in the box are=54880÷160

=343 soap cakes

Answer 2

The number of such, soap cakes that can be packed in a box is 343

Solution:

Given that,

A soap cake is of size 8 cm 5 cm 4 cm

Find the volume of soap cake:

$Volume\ of\ soapcake = 8 \times 5 \times 4 \\\\Volume\ of\ soapcake = 160\ cm^3$

Box measuring 56 cm 35 cm 28 cm

Find the volume of box

$Volume\ of\ box = 56 \times 35 \times 28 \\\\Volume\ of\ box =54880\ cm^3$

Find number of such, soap cakes that can be packed in a box

$Number\ of\ soapcakes = \frac{ \text{ volume of box }}{ \text{ volume of soap cake }} \\\\Number\ of\ soapcakes = \frac{54880 }{ 160 } \\\\Number\ of\ soapcakes = 343$

Thus number of such, soap cakes that can be packed in a box is 343

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