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beks73 [17]
3 years ago
6

JONAS HAS A FILE CABINET IN THE SHAPE OF A right rectangular prism. the area of the base of the file cabinet is 450 square inche

s. the height of the file cabinet is 53 inches. enter the volume, in cubic inches. of the file cabinet.
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0

Answer:

The volume of the file cabinet is 23850 in³.

Step-by-step explanation:

Nostrana [21]3 years ago
4 0
The volume of a rectangular prism can be found by the formula:
V = A × h

Where:
A = area of the base of the prism
h = height of the prism

Therefore:
V = 450 × 53 
   = 23850 in³

The volume of the file cabinet is <span>23850 in³.</span>
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---------------------------------------------------------------------------

\dfrac{1}{4}\left(1-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3}{3}-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3-2}{3}\right)^2+\dfrac{1}{3}\\\\=\dfrac{1}{4}\left(\dfrac{1}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1^2}{3^2}+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1}{9}+\dfrac{1}{3}=\dfrac{1}{36}+\dfrac{1}{3}\qquad(*)\\\\\text{the common denominator is}\ 36.\\\\36=3\cdot12\to\dfrac{1}{3}=\dfrac{1\cdot12}{3\cdot12}=\dfrac{12}{36}\\\\(*)\qquad=\dfrac{1}{36}+\dfrac{12}{36}=\dfrac{1+12}{36}=\dfrac{13}{36}

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