What is the formula for the volume of a cylinder?

The volume of a cylinder is given by $$V = \text{π} \times r^2 \times h$$ , where r is the radius and h is the height.

What is the volume of a cone?

The volume of a cone is given by $$V = \frac{1}{3} \times \text{π} \times r^2 \times h$$ .

What is the relationship between the volume of a prism and its base area?

Volume is the product of the base area and height: $$V = B \times h$$ .

How do you convert cubic inches to cubic feet?

To convert cubic inches to cubic feet, divide by 1728 (since 1 ft³ = 12 in × 12 in × 12 in = 1728 in³).

What is the volume of a sphere with a radius of 5 ft?

The volume is $$V = \frac{4}{3} \times \text{π} \times 5^3 = \frac{500}{3} \text{ ft}^3 \text{ or approximately } 523.6 \text{ ft}^3$$ .

What is the volume of a rectangular prism with dimensions 4 ft, 5 ft, and 6 ft?

The volume is $$V = 4 \times 5 \times 6 = 120 \text{ ft}^3$$ .

What is the formula for the volume of a pyramid?

The volume of a pyramid is given by $$V = \frac{1}{3} \times B \times h$$ , where B is the area of the base and h is the height.

What is the volume of a cylinder with a radius of 3 ft and a height of 7 ft?

The volume is $$V = \text{π} \times 3^2 \times 7 = 63\text{π} \text{ ft}^3 \text{ or approximately } 197.82 \text{ ft}^3$$ .

Unit 7 Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What does the 'B' in the volume formula V = Bh stand for?

Back

Area of the base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

What is the unit of measurement for volume?

Back

Cubic units (e.g., ft³, in³, m³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

4.

FLASHCARD QUESTION

Front

How do you find the volume of a rectangular prism?

Back

Tags

CCSS.7.G.B.6

5.

FLASHCARD QUESTION

Front

If the height of a prism is doubled, how does that affect the volume?

Back

The volume will also double.

Tags

CCSS.7.G.B.6

6.

FLASHCARD QUESTION

Front

What happens to the volume of a prism if all edges are multiplied by 5?

Back

The volume will be multiplied by 125.

Tags

CCSS.7.G.B.6

7.

FLASHCARD QUESTION

Front

What is the volume of a cube with a side length of 3 ft?

Back

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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