Question

A company packages its juice in a tetra pack shown below. How much quantity of juice does it contain?

A. 140 \[c{{m}^{3}}\]
B. 160 \[c{{m}^{3}}\]
C. 16 \[c{{m}^{3}}\]
D. 136 \[c{{m}^{3}}\]

Answer 1

Hint: The quantity of juice this tetra pack contains will be equal to its volume. And the tetra pack is a cuboid so the volume of tetra pack can be finding using the formula of volume of cuboid which is
 \[length\times breadth\times height\]

Complete step by step solution:
The company packages juice in the tetra pack shown above. We need to find how much quantity of juice it can contain. We know that the tetra pack as shown above looks like a cuboid.
The quantity of juice tetra pack contains is equal to the volume of tetra pack.
We know that the volume of a cuboid is given by the formula = \[length\times breadth\times height\]
In the above figure we are given that
The length of the tetra pack = 4 cm
The breadth of the tetra pack = 4 cm
The height of the tetra pack = 10 cm
So the volume of the tetra pack
= \[4\times 4\times 10c{{m}^{3}}\]
= 160 \[c{{m}^{3}}\]
So quantity of juice the tetra pack contains = Volume of the tetra pack = 160 \[c{{m}^{3}}\]
Hence the correct option is B

Note: Students may have the possibility to make mistakes such as they cannot figure out from the figure which 3-D figure is this. And also they may use the formula of area instead of volume but for finding the quantity of any container it contains, we need to find out the volume of that container. If a student finds the area, he might get 16 and might mark option C - 16 \[c{{m}^{3}}\] as the answer. But the unit that is given must be noted and the right option must be marked.