Question

exam 14
question 1: standard g.mg.1
a sunglasses case can best be modeled as...
image of a sunglasses case
a. cylinder
b. cone
c. rectangular based pyramid
d. rectangular prism
question 2: standard g.mg.1
you want to find the volume of a tennis ball. which 3d will you use to model a tennis ball?
a. sphere
b. cone
c. cylinder
d. triangular prism
question 3: standard g.mg.1
a human torso would best be modeled as....
a. cone
b. cylinder
c. sphere
d. hexagonal prism
question 4: standard g.mg.1
you want to find the volume of a plastic soda bottle, which 2 shapes could be used to model a soda bottle?
a. cone and sphere
b. sphere and cylinder
c. square based pyramid and cylinder
d. cylinder and cone

Explanation:

Question 1

A sunglasses case (from the image) has a rectangular base and rectangular faces, matching a rectangular prism. A cylinder has circular bases, a cone has a circular base and tapers, and a rectangular - based pyramid tapers to a point. So the best model is a rectangular prism.

A tennis ball is a round, three - dimensional object where all points on the surface are equidistant from the center, which is the definition of a sphere. A cone tapers, a cylinder has circular bases and straight sides, and a triangular prism has triangular and rectangular faces. So a sphere is the best model.

A human torso is roughly a long, circular - based (in cross - section) and straight - sided shape, similar to a cylinder. A cone tapers, a sphere is round and has no length - like structure, and a hexagonal prism has a hexagonal base which doesn't match the torso's shape. So a cylinder is the best model.

Answer:

d. Rectangular prism

Question 2