You are building a curio cabinet in the form of a rectangular prism that must be 4 feet tall with a volume of 48 cubic feet. The length and with each must be no more than tot. Which of the following dimensions are the possible width and length of the cabinet? a) 15 foot by feet b) 24 feet by 5 foot c) 25 feet by 4.8 feet d) 3 feet by 4 feet e) 4 feet by 12 feet 19

d) 3 feet by 4 feet

Step-by-step explanation:

Volume of the prism = 48 feet³

Height if the prism = 4 feet

To determine the possible values of the length and width of the prism let's divide the volume by the height.

So 48/4 = 12

So we'll be looking for a product of two numbers to give us 12

And it's between 12 and 1, 4 and 3 , and 6 and 2.

We have only 4 and 3 in the option.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

9987

step-by-step explanation: