Question

how many blocks of icecream each 10cm*10cm*4cm can be stored in the compartment of a freezer measuring 40cm*40cm*20cm

Answer 1

Concept:-

Here, We have the dimensions of ice-cream and the dimensions of freezer. We have to find the number of ice-cream that can be stored in the freezer. To find this we first find the volume of both ice-cream and freezer. Then divide the volume of freezer by volume of ice-cream, then we get the number of ice-cream that can be stored.

Given:-

• Dimension of ice-cream is 10 cm × 10 cm × 4 cm.
• Dimension of freezer is 40 cm × 40 cm × 20 cm.

To Find:-

• Number of ice-cream that can be stored in the freezer ?

Solution:-

Here, We it is given the three dimensions of the ice-cream and freezer,

So, it is a cuboid and we will use the formula to find volume of cuboid.

$\sf{\Longrightarrow Volume\ of\ Cuboid\ =\ Length \times Breadth \times Height}$

Where, Length of ice-cream = 10 cm

            Breadth of ice-cream = 10 cm

            Height of ice-cream = 4 cm

Putting all the values we get,

$\sf{\Longrightarrow 10 \times 10 \times 4}$

$\sf{\Longrightarrow 400\ cm^{3}}$

So, volume of ice-cream of is 400 cm³.

$\sf{\Longrightarrow Now, Volume\ of\ Cuboid\ =\ Length \times Breadth \times Height}$

Where, Length of freezer = 40 cm

            Breadth of freezer = 40 cm

            Height of freezer = 20 cm

Putting all the values we get,

$\sf{\Longrightarrow 40 \times 40 \times 20}$

$\sf{\Longrightarrow 32,000\ cm^{3}}$

So, Volume of freezer is 32,000 cm³.

Now, number of ice-cream that can be stored in the freezer is

$\sf{\Longrightarrow \dfrac{Volume\ of\ freezer}{Volume\ of\ ice-cream}}$

$\sf{\Longrightarrow \dfrac{32,000\ cm^{3}}{400\ cm^{3}}}$

$\sf{\Longrightarrow 80}$

Hence, The number of ice-cream that can be stored in the freezer is 80.