Surface Area & Volume of 3-D Objects (Grade 9) — Worksheet & Memo

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Grade 9 · Surface Area & Volume

Surface Area & Volume of 3-D Objects (Grade 9)

MEMORANDUM

Name:

Class:

Date:

Mark

/ 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

1
Volume of a box 6 cm × 4 cm × 3 cm.
(2)
72 cm³✓✓ (2)
2
Surface area of a box 6 cm × 4 cm × 3 cm.
(2)
2(24 + 18 + 12) = 108 cm²✓✓ (2)
3
Volume of a cube with side 5 cm.
(2)
5³ = 125 cm³✓✓ (2)
4
Triangular prism: base 6, height 4, length 12 cm. Find the volume.
(2)
½(6)(4) = 12; 12 × 12 = 144 cm³✓✓ (2)
5
Cylinder radius 3 cm, height 7 cm. Find the volume (π ≈ 3,14).
(2)
3,14 × 9 × 7 = 197,82 cm³✓✓ (2)
6
Cylinder radius 3 cm, height 7 cm. Find the surface area (π ≈ 3,14).
(2)
2(3,14)(9) + 2(3,14)(3)(7) = 56,52 + 131,88 = 188,4 cm²✓✓ (2)
7
Cylinder radius 2 cm, height 5 cm. Find the volume (π ≈ 3,14).
(2)
3,14 × 4 × 5 = 62,8 cm³✓✓ (2)
8
How many mℓ does a container of 250 cm³ hold?
(2)
250 mℓ (1 cm³ = 1 mℓ)✓✓ (2)
9
A cylinder's height is doubled. What happens to its volume?
(2)
It doubles (height is not squared).✓✓ (2)
10
A cylinder's radius is doubled. What happens to its volume?
(2)
It becomes 4 times bigger (r is squared).✓✓ (2)

TOTAL: 20 marks