45 square feet is the area of the base of the pedestal.
what is rectangular prism?
- A rectangular prism is a 3D figure with 6 rectangular faces.
- To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
Learn more about rectangular prism
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Let the length of maria's book be a and that of Brandon's be b.
So, by the question,
the difference in length of books is 56
i.e. a-b=56------(1)
and the length of books all together is 348
i.e. a+b=348------(2)
Adding (1) and (2);
(a-b)+(a+b)=56+348
or, a-b+a+b=404
or, 2a=404
or, a=202
substitutting the value of a in (2),
202+b=348
or, b=146
therefore, the length of Maria's book is 202
and the length of Brandon's book is 146.
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Answer:
137.5
Step-by-step explanation:
