Question

6.2 Scale factor, Area factor and Volu 1 1 point Given the scale factor of 59.5 for two rectangular prisms, what 2 Type your answer... 3 2 4 If a rectangular prism has the width of 5. the length of 10, and the number ory 5

Answer 1

1.

Assume that the first prism have dimension l, w and h. Therefore its volume is:

`V=lwh\text{ }`

Now, the second prism after applying the scale factor has dimensions 59.5l, 59.5w and 59.5h, hence its volume will be:

`\begin{gathered} V^(\prime)=59.5l\cdot59.5w\cdot59.5h \\ =210644.9lwh \\ =210644.9V \end{gathered}`

Therefore, the scale factor for the volume is 210,644.9.

2.

The are of the base of a rectangular prism is given by:

`A_b=lw`

hence, in this case we have:

`A_b=5\cdot10=50`

Therefore the area of the base is 50 squared units.