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To find the value of , we need to isolate it. In this case, we can do so by dividing it by
, and what we do to one side of the equation, we have to do to the other. So, divide both sides of the equation by
.
Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.
Explanation: Since, and
are similar triangles.
Because, and
(because EA and KD are parallels. And,
is common angle for these triangles.
Therefore, according to the property of similar triangles.
FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .
Thus, first, second and third options are correct.
Base of pyramid, a = 756 ft
= 252 yards (1 ft = 0.333 yards)
Height of pyramid, h = 480 ft
= 160 yards
(a). For a square pyramid, we have:
Volume =
=
= 33,86,880 cubic yards
Hence, volume of the Great Pyramid = 33,86,880 cubic yards
(b). Volume of limestone block = 1.5 cubic yards
Number of limestone blocks needed to construct the Great Pyramid = Volume of pyramid / volume of limestone block
= 33,86,880 / 1.5
= 22,57,920 limestone blocks