# Section 8.8 - Optimum Volume And Surface Area

5 Questions | Total Attempts: 275  Settings  Mathematics is an interesting subject and is one that you can never miss to take in any level of study. The quiz below is based on optimum volume and surface area. Take the quiz below and gauge your knowledge.

• 1.
What is the maximum possible volume of a square based prism with a surface area of 400 cm^2?
• A.

529 cm^3

• B.

544 cm^3

• C.

560 cm^3

• D.

800 cm^3

• 2.
What is the maximum possible volume of a cylinder with a surface area of 500 cm^2?
• A.

760 cm^3

• B.

774 cm^3

• C.

858 cm^3

• D.

1667 cm^3

• 3.
A square based prism has a volume of 8000 mm^3.  What are the dimensions of the prism for the minimum possible surface area?
• A.

Length, width, and height = 20 mm

• B.

Length, width, and height = 25 mm

• C.

Length, width, and height = 40 mm

• D.

Length, width, and height = 89 mm

• 4.
A cylinder has a volume of 15 000mm^3.  What are the dimensions of the cylinder for the minimum possible surface area?
• A.

Radius = 9.3 cm, height = 18.6 cm

• B.

Radius = 10.6 cm, height = 21.2 cm

• C.

Radius = 13.4 cm, height = 13.4 cm

• D.

Radius = 13.4 cm, height = 26.8 cm

• 5.
A square based prism has a surface area of 54 000 cm^2.  What are the dimensions of the prism for the greatest possible volume?
• A.

Length, width, and height = 21 cm

• B.

Length, width, and height = 30 cm

• C.

Length, width, and height = 52 cm

• D.

Length, width, and height = 95 cm

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