Find The Volume! Practice Test Trivia Quiz

Question 1 / 10

🏆 Rank #-- ▾

0 %

0/100

Score 0/100

1) What is the volume of a rectangular prism with length 8 cm, width 4 cm, and height 3 cm?

48 cm³

96 cm³

72 cm³

84 cm³

Volume of a rectangle = length × width × height = 8 × 4 × 3 = 96 cm³

Explanation

Volume of a rectangle = length × width × height = 8 × 4 × 3 = 96 cm³

About This Quiz

Find The Volume! Practice Test Trivia Quiz - Quiz

Most students have a hard time when it comes to finding the volume of some shapes, and the quiz below is perfect for helping them be more capable of tackling any quiz like it. Use the formula sheet and skills to find the solutions to each question for your use... see morename put the period number, followed by the last name, first initial. see less

2) A cylinder has a radius of 7 cm and a height of 10 cm. What is its volume? (Use π = 3.14)

1,384 cm³

1,078 cm³

1,538 cm³

1,231 cm³

Volume of a cylinder = πr²h = 3.14 × 7² × 10 = 3.14 × 49 × 10 = 1,538.6 cm³ ≈ 1,538 cm³

Explanation

Volume of a cylinder = πr²h = 3.14 × 7² × 10 = 3.14 × 49 × 10 = 1,538.6 cm³ ≈ 1,538 cm³

3) A rectangular swimming pool is 15 m long, 8 m wide, and 2 m deep. How many cubic meters of water does it hold?

120 m³

240 m³

180 m³

300 m³

Volume = length × width × height = 15 × 8 × 2 = 240 m³

Explanation

Volume = length × width × height = 15 × 8 × 2 = 240 m³

4) If the volume of a cube is 216 cm³, what is the length of one side?

4 cm

5 cm

6 cm

7 cm

Volume = side³ → side = ∛216 = 6 cm. Verification: 6³ = 216

Explanation

Volume = side³ → side = ∛216 = 6 cm. Verification: 6³ = 216

5) What is the volume of a triangular prism with a base area of 24 cm² and a height of 10 cm?

120 cm³

240 cm³

480 cm³

60 cm³

Volume = base area × height = 24 × 10 = 240 cm³

Explanation

Volume = base area × height = 24 × 10 = 240 cm³

6) What is the volume of a sphere with a radius of 3 cm? (Use π = 3.14)

75.36 cm³

226.08 cm³

113.04 cm³

150.72 cm³

Volume = 4/3πr³ = 4/3 × 3.14 × 3³ = 4/3 × 3.14 × 27 = 4/3 × 84.78 = 113.04 cm³

Explanation

Volume = 4/3πr³ = 4/3 × 3.14 × 3³ = 4/3 × 3.14 × 27 = 4/3 × 84.78 = 113.04 cm³

7) A cylindrical water tank has a diameter of 10 m and a height of 5 m. What is its volume? (Use π = 3.14)

392.5 m³

785 m³

1,570 m³

157 m³

Radius = diameter ÷ 2 = 10 ÷ 2 = 5 m. Volume = πr²h = 3.14 × 5² × 5 = 3.14 × 25 × 5 = 392.5 m³

Explanation

Radius = diameter ÷ 2 = 10 ÷ 2 = 5 m. Volume = πr²h = 3.14 × 5² × 5 = 3.14 × 25 × 5 = 392.5 m³

8) A cone and a cylinder have the same base radius and height. What is the ratio of the volume of the cone to the volume of the cylinder?

1:2

1:3

2:3

1:4

Volume of cone = ⅓πr²h and Volume of cylinder = πr²h. Therefore the ratio = ⅓πr²h : πr²h = 1:3 — meaning a cone holds exactly one third of the volume of a cylinder with the same base and height.

Explanation