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Surface Areas and Volumes Practice 2: Volumes and Hollow Solids

Section A: Skill Practice

Question 1mcq
A cylindrical tank is open at the top. To find metal sheet needed, which surface area is counted?
A.Only circumference
B.Curved surface area plus one circular base
C.Curved surface area plus two bases
D.Only volume
Question 2mcq
Two cubes are glued face-to-face. Which surfaces should not be counted in exposed surface area?
A.The two glued internal faces
B.All outer faces
C.Only top faces
D.No faces are hidden
Question 3mcq
Which measurement is needed for the curved surface area of a cone?
A.Only diameter
B.Only volume
C.Only diagonal of base
D.Slant height
Question 4mcq
A student uses πr2h\pi r^2h to find the amount of paint for the outside of a cylinder. What is wrong?
A.Paint needs litres only
B.Radius should never be used
C.πr2h\pi r^2h is volume, not surface area
D.It is the correct formula for paint
Question 5mcq
Which approach best matches the skill: identify component solids in a combination?
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

Section B: Application

Question 6mcq
Which approach best matches the skill: distinguish tsa, csa and exposed area?
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 7mcq
Which approach best matches the skill: add volumes of combined solids?
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 8mcq
Which approach best matches the skill: subtract volumes for hollow or removed parts?
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 9mcq
Which approach best matches the skill: solve cylinder-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 10mcq
Which approach best matches the skill: solve cone-cylinder combinations?
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