Question

A cubic box with an edge of exactly 1 cm has a volume of: A. 10^−9 m B. 10^−6 m^3 C. 10^−3 m^3 D. 10^3 m^3 E. 10^6 m^3

Answer 1

Answer:

The volume of the cubic box is $10^{-6}m^3$

Explanation:

Given that,

The length of edge of the cubic box is $a=1cm$

Writing it in SI Unit we get $a=1cm=0.01m$

The volume of a cubic box is mathematically equal to the cube of the length of the edge.Therefore,

$V=a^3$

By substituting the given value we get

$V=(0.01)^3=(10^{-2})^3m^3\\=10^{-6}m^3$

Therefore,

The volume of the cubic box is $10^{-6}m^3$

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Answer 2

Answer:

Option (B) is the correct answer.

Explanation:

Given:-

A cubic box has an edge length of exactly 1 cm.

To find:-

The volume of the cube.

As we know,

The volume of the cube is,

= y × y × y

= $y^3$, where y is the edge length of the given cube.

It is given that the cubic box has edge length of 1 cm.

Since,

1 centimeter = 0.01 meter

1 cm = $10^{-2}$ m

So,

The volume of the cube (in $meter$) = $10^{-2}$ × $10^{-2}$ × $10^{-2}$

                                                          = $(10^{-2})^3$

                                                          = $10^{-6}$ $m^3$

Thus, the volume of the cube is $10^{-6}$ $m^3$.

Therefore, option (B) is the correct answer.

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