A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?

1740 cubic feet

Step-by-step explanation:

Given:

A tank is in the shape of a rectangular prism.

Area of base = 116 square feet

Height of the tank = 30 feet

Question asked:

How many cubic feet of water would the tank contain when it is filled halfway?

Solution:

Area of rectangular base = 116 square feet

As we know:

That means capacity of tank is 3480 cubic feet.

When it is filled halfway, it will contain =

Thus, tank will contain 1740 cubic feet of water when it is filled halfway.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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step-by-step explanation: