Question

True or false help!!!!!!


If both base dimensions of a square pyramid double, but the height remains the same, then the volume of the new figure will be four times larger.


True
False



If all three dimensions of a rectangular prism double, then the volume will be three times larger.


True
False

Answer 1

volume of "square pyramid" = \(\large \frac{1}{3} Bh\)

Answer 2

\(B\) is base area

Answer 3

since you're doubling both length and width of base,
the new base area would be :
B = \(length \times width = (2l)(2w) = 4lw = 4B \)

new volume = \(\large \frac{1}{3}(4B)h = 4(\frac{1}{3}Bh) \)

Answer 4

which is clearly "4" times the older volume

Answer 5

So both false? @ganeshie8

Answer 6

read the first question again

Answer 7

the first question is also saying, the volume will be four times larger,
so... ?

Answer 8

oh true haha

Answer 9

:)