Calculate the area of a triangle with a base of 8 m and a height of 6 m.

The area is $$A = \frac{1}{2} \times 8 \times 6 = 24 m^2$$ .

If a triangular prism has a base area of 12 m² and a height of 4 m, what is the volume?

The volume is $$V = 12 \times 4 = 48 m^3$$ .

What is the formula for finding the height of a triangle if the area and base are known?

The height can be found using the formula: $$h = \frac{2A}{b}$$ , where A is the area and b is the base.

What is the area of a triangle with a base of 5 cm and a height of 10 cm?

The area is $$A = \frac{1}{2} \times 5 \times 10 = 25 cm^2$$ .

How do you find the volume of a triangular prism with a triangular base area of 15 cm² and a length of 10 cm?

The volume is $$V = 15 \times 10 = 150 cm^3$$ .

What is the volume of a triangular prism with a base area of 25 m² and a height of 8 m?

The volume is $$V = 25 \times 8 = 200 m^3$$ .

If the base of a triangle is doubled, how does that affect the area?

If the base is doubled, the area of the triangle also doubles, assuming the height remains the same.

What is the significance of the height in calculating the area of a triangle?

The height is crucial because it determines how 'tall' the triangle is, affecting the overall area when multiplied by the base.

Volume Of Triangular Prisms

Volume of Triangular Prisms

Flashcard

•

Mathematics

•

7th Grade

•

Practice Problem

•

Medium

•

CCSS

6.G.A.1, 7.G.B.6, 5.MD.C.3A

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15 questions

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FLASHCARD QUESTION

Front

What is the formula for the area of a triangle?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.7.G.B.6

FLASHCARD QUESTION

Front

How do you calculate the area of a triangle with base 10 cm and height 5 cm?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

If a triangular prism has a base area of 20 cm² and a height of 10 cm, what is its volume?

Back

Tags

CCSS.7.G.B.6

FLASHCARD QUESTION

Front

What is the height of a triangular prism if the volume is 150 cm³ and the base area is 30 cm²?

Back

Tags

CCSS.7.G.B.6

FLASHCARD QUESTION

Front

What units are used for measuring volume?

Back

Volume is typically measured in cubic units, such as cm³, m³, or liters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.7.G.B.6

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