B2000855
Answered

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The two boxes shown are cuboids.

Work out how many of the smaller boxes you would need to completely fill the larger one.

The Two Boxes Shown Are Cuboids Work Out How Many Of The Smaller Boxes You Would Need To Completely Fill The Larger One class=

Sagot :

MrRoyal

Answer:

250 smaller cuboids

Step-by-step explanation:

Given

Small and Big cuboids

Required

Number of smaller cuboids in the big one

To do this, we calculate the volume of both cuboids.

[tex]Volume = Length * Width * Height[/tex]

For the small cuboid

[tex]V_1 = 10cm * 3cm * 4cm[/tex]

[tex]V_1 = 120cm^3[/tex]

For the big cuboid

[tex]V_2 = 50cm * 30cm * 20cm[/tex]

[tex]V_2 = 30000cm^3[/tex]

The number of small in big is then calculated by diving the volumes

[tex]Number = \frac{V_2}{V_1}[/tex]

[tex]Number = \frac{30000cm^3}{120cm^3}[/tex]

[tex]Number = \frac{30000}{120}[/tex]

[tex]Number = 250[/tex]

Hence, there are 250 small cuboids in the large one

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