Surface Area and Volume (Copy)

Q1 (Non-Calculator)
Find the volume of a cuboid with length 8 cm, width 5 cm, and height 3 cm.

Solution:
Volume = length × width × height
Volume = 8 × 5 × 3
Volume = 120 cm³

Answer:
120 cm³

Q2 (Non-Calculator)
Find the surface area of a cuboid with length 6 cm, width 4 cm, and height 2 cm.

Solution:
Surface area = 2(lb + bh + hl)
Surface area = 2(6×4 + 4×2 + 2×6)
Surface area = 2(24 + 8 + 12)
Surface area = 2(44)
Surface area = 88 cm²

Answer:
88 cm²

Q3 (Non-Calculator)
A prism has a cross-sectional area of 15 cm² and a length of 7 cm. Find its volume.

Solution:
Volume = area of cross-section × length
Volume = 15 × 7
Volume = 105 cm³

Answer:
105 cm³

Q4 (Non-Calculator)
Find the curved surface area of a cylinder with radius 5 cm and height 10 cm. Leave your answer in terms of π.

Solution:
Curved Surface Area = 2πrh
Curved Surface Area = 2π × 5 × 10
Curved Surface Area = 100π cm²

Answer:
100π cm²

Q5 (Non-Calculator)
Find the total surface area of a cylinder with radius 3 cm and height 7 cm. Leave your answer in terms of π.

Solution:
Total Surface Area = 2πrh + 2πr²
= 2π × 3 × 7 + 2π × 3²
= 42π + 18π
= 60π cm²

Answer:
60π cm²

Q6 (Calculator)
Find the volume of a cylinder with radius 4 cm and height 12 cm. Leave your answer in terms of π.

Solution:
Volume = πr²h
Volume = π × 4² × 12
Volume = π × 16 × 12
Volume = 192π cm³

Answer:
192π cm³

Q7 (Calculator)
Find the surface area of a sphere with radius 6 cm. Leave your answer in terms of π.

Solution:
Surface Area = 4πr²
Surface Area = 4π × 6²
Surface Area = 4π × 36
Surface Area = 144π cm²

Answer:
144π cm²

Q8 (Calculator)
Find the volume of a sphere with radius 5 cm. Leave your answer in terms of π.

Solution:
Volume = (4/3)πr³
Volume = (4/3)π × 5³
Volume = (4/3)π × 125
Volume = (500/3)π cm³

Answer:
(500/3)π cm³

Q9 (Calculator)
Find the volume of a cone with radius 3 cm and height 8 cm. Leave your answer in terms of π.

Solution:
Volume = (1/3)πr²h
Volume = (1/3)π × 3² × 8
Volume = (1/3)π × 9 × 8
Volume = (1/3)π × 72
Volume = 24π cm³

Answer:
24π cm³

Q10 (Calculator)
Find the curved surface area of a cone with radius 7 cm and slant height 10 cm. Leave your answer in terms of π.

Solution:
Curved Surface Area = πrl
Curved Surface Area = π × 7 × 10
Curved Surface Area = 70π cm²

Answer:
70π cm²