Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
centimeters by 6 centimeters? Select two options.
The area of the base of the pyramid, B, is 8 cm.
The area of the base of the pyramid, B, is 24 cm.
A rectangular prism with the dimensions of 9 cm by 4 cm by 6cm will have 3 times volume of this pyramid.
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 of the volume of this pyramid.
The volume of this pyramid is 216 cm

options 2 and 5

Step-by-step explanation:

Here, we are to select two options which are correct about the rectangular pyramid.

The area of the base of the pyramid is 24 cm^2 is correct

This is because, mathematically, since we have a rectangular base, the area of the base = length of the base * width of the base = 4 cm * 6 cm = 24 cm^2

The volume of the pyramid is 216 cm^3 is correct

To calculate the volume of the pyramid, what we do is to multiply the area of the base of the pyramid by the height of the pyramid = 24 * 9 = 216 cm^3

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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