A rectangular block of clay has a length of 12 cm, width of 5 cm, and a volume of 150 cm3. What is the height of the block of clay?

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➷  Volume = l * w * h

So far we have:

150 = 12 * 5 * h

Divide both sides by (12*5)

h = 2.5 cm

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Answer:

The height of the block is 2.5 cm

Solution:

Let us assume the height of the block =h

The length of the rectangle l = 12 cm

The width of the rectangle w = 5 cm

The volume of the rectangle [tex]V = 150 cm^{3}[/tex]

We know the volume of the rectangular block [tex]V = w\times h\times l[/tex]

So,

[tex]h=\left(\frac{V}{w \times l}\right)=\left(\frac{150}{5 \times 12}\right)[/tex]

=\left(\frac{30}{12}\right)

=\left(\frac{5}{2}\right)    = 2.5

So, the height is 2.5 cm