Question

The two rectangular prisms have the same base area of 48 square units. the height of box B is 2/3 the height of box A. if box B has volume of 576 cubic units, what is the height of box A in units?

Answer 1

The height of box A is 18 units.

Step-by-step explanation:

The volume of box B = 576 cubic units

The base area = 48 square units.

`\begin{gathered} \text{Volume of a rectangular prism=Base Area}* Height \\ 576=48h \\ h=(576)/(48) \\ h=12\text{ units} \end{gathered}`

The height of box B = 12 units.

Given that the height of box B is 2/3 the height of box A.

Let the height of box A = H.

`\begin{gathered} (2)/(3)H=12 \\ H=12*(3)/(2) \\ H=18\text{ units} \end{gathered}`

The height of box A is 18 units.