The volume of a rectangular prism varies jointly with the length and width of the figure when the height remains constant. the volume of a rectangular prism is 672 cubic centimeters. the figure has a length of 8 centimeters and a width of 14 centimeters. a second prism has a length of 12 centimeters and a width of 8 centimeters. what is the volume of the second prism?
576 cubic centimeters
768 cubic centimeters
784 cubic centimeters
1,344 cubic centimeters

The volume of the second rectangular  prism is  576 cm³ .

Step-by-step explanation:

As given

The volume of a rectangular prism varies jointly with the length and width when the height remains constant.

Let us assume that the length is denoted by L .

Let us assume that the Breadth is denoted by B.

Thus

V = L × B ×  H

where H is the constant of variation

The volume of a rectangular prism is 672 cubic centimeters and has a length of 8 centimeters and a width of 14 centimeters.

Volume (V) = 672 cm

Length (L) = 8 cm

Width (B) = 14 cm

Put all the values in the above

672 = 8 × 14 ×  H

672 = 112H

H = 6

As given

A second prism has a length of 12 centimeters and a width of 8 centimeters.

Length = 12 cm

Width =  8 cm

Height = 6cm

Put all the values in V = L × B ×  H .

V = 12 × 8  ×  6

V = 576 cm³

Therefore the volume of the second rectangular  prism is  576 cm³ .

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: