91Ó°ÊÓ

Two similar pyramids have heights 12 and \(18 .\) Find the ratios of the following: a. base areas b. lateral areas c. total areas d. volumes

Two similar cylinders have lateral areas \(81 \pi\) and \(144 \pi .\) Find the ratios of: a. the heights b. the total areas c. the volumes

Two similar cones have volumes \(8 \pi\) and \(27 \pi\). Find the ratios of: a. the radii b. the slant heights c. the lateral areas

Two similar pyramids have volumes 3 and 375 . Find the ratios of: a. the heights b. the base areas c. the total areas

For Exercises \(11-14\) sketch each square pyramid described. Then find its lateral area, total area, and volume. base edge \(=6\), height \(=4\)

A diagonal of one cube is \(2 \mathrm{cm} .\) A diagonal of another cube is \(4 \sqrt{3} \mathrm{cm}\) The larger cube has volume \(64 \mathrm{cm}^{3} .\) Find the volume of the smaller cube. (IMAGE CANNOT COPY)

Find the area of the circle formed when a plane passes \(2 \mathrm{cm}\) from the center of a sphere with radius \(5 \mathrm{cm}\).

For Exercises \(11-14\) sketch each square pyramid described. Then find its lateral area, total area, and volume. base edge \(=16 .\) lateral edge \(=17\)

Find the area of the circle formed when a plane passes \(7 \mathrm{cm}\) from the center of a sphere with radius \(8 \mathrm{cm} .\)

If the length, width, and height of a rectangular solid are all tripled, the lateral area is multiplied by ____ the total area is multiplied by _____ and the volume is multiplied by _____.