Jack has a small square pyramid with a height of $x$`x` cm and a base side length of $y$`y` cm and a large pyramid which has dimensions double that of the small pyramid.

a

What are the dimensions of the large pyramid?

Height | $=$= | $\editable{}$ | cm |

Base side length | $=$= | $\editable{}$ | cm |

b

What is the volume of the large pyramid?

c

How many times can the volume of the small pyramid go into the volume of the large pyramid?

d

If the small pyramid has a volume of $59$59 cm^{3}, what is the volume of the large pyramid?

Easy

Approx 4 minutes

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applies formulas to find the surface areas of right pyramids, right cones, spheres and related composite solids

applies formulas to find the volumes of right pyramids, right cones, spheres and related composite solids

proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals