Answer:
The new pyramid has a volume that is 8 times the volume of the original pyramid
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z ----> the scale factor
V_1 -----> volume of the original pyramid
V_2 -----> volume of the new pyramid
In this problem we have that each of the dimensions of the original pyramid are doubled
so
so
substitute
therefore
The volume of the new pyramid is 8 times the volume of the original pyramid
Answer:
3.9 mi/h
Step-by-step explanation:
If the boy is rowing perpendicular to the current, the two vectors form a right triangle.
AB represents the downstream current, BC is the speed across the river, and AC is the ground speed of the boat
AC^2 = 2.4^2 + 3.1^2 =5.76 + 9.61 = 15.37
AC = sqrt(15.37) = 3.9 mi/h
The boat's speed over the ground is 3.9 mi/h.
