Question

the shaded face of a cuboid is a square. the length of the cuboid is 10 cm and it's volume is 360 cm. find the length of the square face.

Answer 1

Step-by-step explanation:

We can find that the general formula for volume is

$v = a \times h$

where

v is the volume

a is the cross sectional area

h is the height(in this case, length)

Solving for a gives us

$a = \frac{v}{h}$

Plugging in knowns,

$a = \frac{360}{10} = 36$

Now we are not done. we need to find the length of the square face.

Note that the area of a square is

$a = {s}^{2}$

Solving for a gives us

$\sqrt{a} = s$

$\sqrt{36} = s$

$s = 6$