Acarpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. if the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox? (a) 20(b) 40(c) 60(d) 80(e) 100

(D)80 ft³

Step-by-step explanation:

The volume volume of the sandbox is = L × W × H

Where L = Length, W= width, H= Height.

A sandbox has the same shape as a cuboid.

A cuboid is a solid shape with rectangular base and sides. It has six rectangular faces if all sides are closed.

From the question,

LWH = 10ft³ (1).

If a similar sandbox twice as long, twice as wide and twice as high.

∴ L₍n₎= 2L, W₍n) =2W, H₍n₎ = 2H

Where L₍n₎, W₍n), H₍n₎ is the new Length,  new Width and  new Height of the similar sandbox.

∴L₍n₎ ×W₍n)× H₍n₎  = 2L × 2W × 2H

   and Volume of the new sandbox = L₍n₎ ×W₍n)× H₍n₎

 ⇒Volume of the new sandbox = 2 × 2 ×2 ×L×W×H

     Volume of the new sandbox = 8 × LWH(2)

    In equation(1) LWH = 10ft³.

     Substituting the value in equation(2)

    ∴Volume of the new(similar) sandbox= 8 × 10

       =80ft³.

Therefore the capacity of the second sandbox in cubic feet is 80.

The answer is option (D).

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"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: