What is the volume of a rectangular pyramid with a base area of 20 cm² and a height of 15 cm?

Using the formula $$V = \frac{1}{3} \text{Base Area} \times \text{Height}$$ , the volume is $$V = \frac{1}{3}(20)(15) = 100 \text{ cm}^3$$ .

If a cone has a radius of 4 cm and a height of 9 cm, what is its volume?

Using the formula $$V = \frac{1}{3} \text{π}r^2h$$ , the volume is $$V = \frac{1}{3} \text{π}(4^2)(9) = 48\text{π} \text{ cm}^3$$ .

What is the volume of a tent shaped like a rectangular prism with dimensions 7 ft tall, 10 ft wide, and 12 ft long?

Using the formula $$V = \text{Length} \times \text{Width} \times \text{Height}$$ , the volume is $$V = 10 \times 12 \times 7 = 840 \text{ cubic feet}$$ .

What is the area of the base of a cylinder with a radius of 5 cm?

The area of the base is calculated using the formula: $$\text{Base Area} = \text{π}r^2 = \text{π}(5^2) = 25\text{π} \text{ cm}^2$$ .

What is the height of a cylinder if its volume is 100π cm³ and the radius is 5 cm?

Using the formula $$V = \text{π}r^2h$$ , we can find the height: @@100 ext{π} = ext{π}(5^2)h ightarrow h = rac{100}{25} = 4 ext{ cm}@@.

What is the relationship between the volume of a cylinder and a cone with the same base and height?

The volume of a cone is one-third that of a cylinder with the same base and height: $$V_{cone} = \frac{1}{3}V_{cylinder}$$ .

What is the volume of a cereal box that is 12 cm tall with a base area of 7 cm²?

Using the formula $$V = \text{Base Area} \times \text{Height}$$ , the volume is $$V = 7 \times 12 = 84 \text{ cm}^3$$ .

Volume of Cylinders, Cones, Prisms, & pyramids Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

FLASHCARD QUESTION

Front

What does the variable 'r' represent in the volume formula of a cylinder?

Back

'r' represents the radius of the base of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

FLASHCARD QUESTION

Front

What is the formula for the volume of a rectangular prism?

Back

Tags

CCSS.7.G.B.6

5.

FLASHCARD QUESTION

Front

What is the formula for the volume of a pyramid?

Back

Tags

CCSS.HSG.GMD.A.3

6.

FLASHCARD QUESTION

Front

How do you calculate the surface area of a cylinder?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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