Mensuration: Surface Area and Volume: Final Assessment

Section A: Core Review

Question 1mcq

Which method is most appropriate for checking a mathematical answer?

A.Substitute the answer back into the original condition.

B.Choose the longest option.

C.Ignore the units.

D.Use only the diagram's appearance.

Question 2mcq

A cylinder has radius

7\,cm

and height

13\,cm

. Using

\pi=\frac{22}{7}

, what is its volume?

A.

2156\,cm^{3}

B.

572\,cm^{3}

C.

154\,cm^{3}

D.

2002\,cm^{3}

Question 3mcq

A cube has edge length

6\,cm

. What is its volume?

A.

72\,cm

B.

216\,cm^{2}

C.

216\,cm^{3}

D.

36\,cm^{2}

Question 4mcq

Find the volume of a cuboid with length

5\,cm

, breadth

4\,cm

and height

3\,cm

.

A.

47\,cm^{3}

B.

60\,cm^{3}

C.

12\,cm^{3}

D.

94\,cm^{3}

Question 5mcq

A cylinder has radius

7\,cm

and height

13\,cm

. Using

\pi=\frac{22}{7}

, what is its volume?

A.

2002\,cm^{3}

B.

572\,cm^{3}

C.

154\,cm^{3}

D.

2156\,cm^{3}

Question 6mcq

A cube has edge length

6\,cm

. What is its volume?

A.

36\,cm^{2}

B.

216\,cm^{2}

C.

72\,cm

D.

216\,cm^{3}

Question 7mcq

A cube has edge length

7\,cm

. What is its volume?

A.

84\,cm

B.

294\,cm^{2}

C.

343\,cm^{3}

D.

49\,cm^{2}

Question 8mcq

Find the volume of a cylinder with radius

7\,cm

and height

10\,cm

using

\pi=\frac{22}{7}

.

A.

440\,cm^{3}

B.

1540\,cm^{3}

C.

770\,cm^{3}

D.

220\,cm^{3}

Section B: Application and Reasoning

Question 9mcq

A cylinder has radius

7\,cm

and height

14\,cm

. Using

\pi=\frac{22}{7}

, what is its volume?

A.

2156\,cm^{3}

B.

616\,cm^{3}

C.

154\,cm^{3}

D.

2310\,cm^{3}

Question 10mcq

A cube has edge length

7\,cm

. What is its volume?

A.

49\,cm^{2}

B.

294\,cm^{2}

C.

84\,cm

D.

343\,cm^{3}

Question 11mcq

A cube has edge length

8\,cm

. What is its volume?

A.

96\,cm

B.

384\,cm^{2}

C.

512\,cm^{3}

D.

64\,cm^{2}

Question 12mcq

A cone has radius

3\,cm

, height

4\,cm

and slant height

5\,cm

. What is its curved surface area?

A.

9\pi\,cm^{2}

B.

15\pi\,cm^{2}

C.

12\pi\,cm^{2}

D.

20\pi\,cm^{2}

Question 13mcq

Which unit is appropriate for volume?

A.

cm^{3}

B.

cm

C.degrees

D.

cm^{2}

Question 14mcq

A cube has edge length

8\,cm

. What is its volume?

A.

64\,cm^{2}

B.

384\,cm^{2}

C.

96\,cm

D.

512\,cm^{3}

Question 15mcq

A cube has edge length

4\,cm

. What is its volume?

A.

48\,cm

B.

96\,cm^{2}

C.

64\,cm^{3}

D.

16\,cm^{2}

Question 16mcq

Find the surface area of a sphere of radius

7\,cm

using

\pi=\frac{22}{7}

.

A.

154\,cm^{2}

B.

616\,cm^{2}

C.

616\,cm^{3}

D.

308\,cm^{2}

Section C: Challenge and Mixed Practice

Question 17mcq

A cylinder has radius

7\,cm

and height

11\,cm

. Using

\pi=\frac{22}{7}

, what is its volume?

A.

1694\,cm^{3}

B.

484\,cm^{3}

C.

154\,cm^{3}

D.

1848\,cm^{3}

Question 18mcq

Find the surface area of a sphere of radius

7\,cm

using

\pi=\frac{22}{7}

.

A.

1437\,cm^{2}

B.

308\,cm^{2}

C.

154\,cm^{2}

D.

616\,cm^{2}

Question 19mcq

Find the surface area of a sphere of radius

7\,cm

using

\pi=\frac{22}{7}

.

A.

616\,cm^{3}

B.

154\,cm^{2}

C.

616\,cm^{2}

D.

308\,cm^{2}

Question 20mcq

A cone has radius

7\,cm

and slant height

11\,cm

. Using

\pi=\frac{22}{7}

, find its curved surface area.

A.

154\,cm^{2}

B.

242\,cm^{2}

C.

484\,cm^{2}

D.

264\,cm^{2}

Question 21mcq

Find the curved surface area of a hemisphere of radius

7\,cm

using

\pi=\frac{22}{7}

.

A.

308\,cm^{2}

B.

462\,cm^{2}

C.

154\,cm^{2}

D.

616\,cm^{2}

Question 22mcq

A cube has edge length

5\,cm

. What is its volume?

A.

25\,cm^{2}

B.

150\,cm^{2}

C.

60\,cm

D.

125\,cm^{3}

Question 23mcq

Which unit is appropriate for volume?

A.

cm^{2}

B.

cm

C.

cm^{3}

D.degrees

Question 24mcq

A student must solve a computational thinking with solids problem accurately. Which approach shows good step-by-step mathematical thinking?

A.Apply the relevant formula step by step, showing all working.

B.Memorise the answer from a previous similar question without re-deriving.

C.Skip straight to the answer without checking intermediate steps.

D.Round all values to the nearest ten before starting the calculation.