Homework Practice

Printable assignment

Surface Areas and Volumes Practice 3: Exposed Area and Applications

Section A: Reasoning

Question 1mcq

Which approach best matches the skill: solve hemisphere-cylinder combinations?

A.Use volume formula for every problem

B.Count hidden shared surfaces as exposed

C.Ignore units and shape features

D.Break the solid into known parts and decide whether surface area or volume is needed.

Question 2mcq

Which approach best matches the skill: solve sphere-related combinations?

A.Count hidden shared surfaces as exposed

B.Ignore units and shape features

C.Break the solid into known parts and decide whether surface area or volume is needed.

D.Use volume formula for every problem

Question 3mcq

Which approach best matches the skill: solve cube-cuboid combinations?

A.Ignore units and shape features

B.Break the solid into known parts and decide whether surface area or volume is needed.

C.Use volume formula for every problem

D.Count hidden shared surfaces as exposed

Question 4mcq

Which approach best matches the skill: convert between units of volume and capacity?

A.Break the solid into known parts and decide whether surface area or volume is needed.

B.Use volume formula for every problem

C.Count hidden shared surfaces as exposed

D.Ignore units and shape features

Question 5mcq

Which approach best matches the skill: solve container and material problems?

A.Use volume formula for every problem

B.Count hidden shared surfaces as exposed

C.Ignore units and shape features

D.Break the solid into known parts and decide whether surface area or volume is needed.

Section B: Mixed Practice

Question 6mcq

Which approach best matches the skill: identify hidden and shared surfaces?

A.Count hidden shared surfaces as exposed

B.Ignore units and shape features

C.Break the solid into known parts and decide whether surface area or volume is needed.

D.Use volume formula for every problem

Question 7mcq

Which approach best matches the skill: choose correct formula from shape features?

A.Ignore units and shape features

B.Break the solid into known parts and decide whether surface area or volume is needed.

C.Use volume formula for every problem

D.Count hidden shared surfaces as exposed

Question 8mcq

Which approach best matches the skill: avoid surface area-volume confusion?

A.Break the solid into known parts and decide whether surface area or volume is needed.

B.Use volume formula for every problem

C.Count hidden shared surfaces as exposed

D.Ignore units and shape features

Question 9mcq

In a second review item, a toy is made by placing a cone on top of a cylinder with the same radius. What are the component solids?

A.A sphere and a cube

B.Two cones

C.A cuboid and a sphere

D.A cone and a cylinder

Question 10mcq

In a second review item, for a cylinder closed at both ends, which area is its total surface area?

\pi r^2h

\frac13\pi r^2h

2\pi rh+2\pi r^2

2\pi rh