Dawn has a plastic container filled with slime. The container is a rectangular prism with a base that measures 4 in. by 6 in. and a height of 3 in. She wants to put the slime in a new container that is a rectangular prism with a base that measures 10 in. by 3 in. and a height of 5 in. What is the height of the empty space in the new container after the slime is added? Show your work. ***Hint*** How high does the slime go up in the new container then subtract that from 5 (the height of the new container).

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.

Given: m zade = 60° and m2cdf = (3x + 15) prove: x = 15