Question

A block of southern pine wood has a mass of 54.6 g and density of 0.65 ​ g/cm3 ​ . The block is a rectangular prism with a length of 4 cm and a width of 3 cm.

What is the height of the block of southern pine?

[?] cm

Answer 1

7 is your answer good luck buddy : )

Answer 2

Answer: Height of the block of southern pine is 7 cm.

Explanation:

Since we have given that

Mass = 54.6 g

Density = 0.65 g/cm³

First we calculate the "Volume ":

`Density=(Mass)/(volume)\\\\0.65=(54.6)/(Volume)\\\\(54.6)/(0.65)=Volume\\\\Volume=84\ cm^3`

Length of rectangular prism = 4 cm

Width of rectangular prism = 3 cm

Height of rectangular prism be 'h'.

So, Volume of rectangular prism = Length×Width×Height

`84=4* 3* h\\\\84=12* h\\\\(84)/(12)=h\\\\7=h`

Hence, height of the block of southern pine is 7 cm.