A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm3. What is the length of the wood?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the statement:

A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm^3.

Determine the length of the wood.

Formula for the volume:

V = l x w x h

Solution:

Substitute the given values of V, w, and h to the formula for the volume of the wood and then solve for l.

V = l x w x h

100 cm^3 = (5cm)(10cm) (l)

100 cm^3 = 50 cm^2 (l)

Divide both sides by 50 cm^2 in order to determine the value of l.

100 cm^3/50 cm^2 = 50 cm^2 l /50 cm^2

l = 2 cm

Finala answer:

The length of the wood is 2cm.