Volume of Prisms, Cylinders & Pyramids Flashcard

Front

What is the formula for the volume of a pyramid?

Back

The volume of a pyramid is given by the formula: \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \).

Tags

CCSS.HSG.GMD.A.3

Front

How do you calculate the area of a triangle?

Back

The area of a triangle is calculated using the formula: \( A = \frac{1}{2} \times \text{Base} \times \text{Height} \).

Tags

CCSS.6.G.A.1

Front

What is the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the base area of a triangular pyramid with a base of 12 inches and a height of 16 inches?

Back

The base area is \( A = \frac{1}{2} \times 12 \times 16 = 96 \, \text{in}^2 \).

Front

What is the volume of a pyramid with a base area of 96 in² and a height of 4.8 inches?

Back

The volume is \( V = \frac{1}{3} \times 96 \times 4.8 = 153.6 \, \text{in}^3 \).

Tags

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is given by the formula: \( V = \text{Base Area} \times \text{Height} \).

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula: \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Tags

CCSS.7.G.B.6

Front

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

Back

The volume is \( V = \pi (3^2)(7) = 63\pi \, \text{in}^3 \).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a prism with a base area of 48 cm² and a height of 6 cm?

Back

The volume is \( V = 48 \times 6 = 288 \, \text{cm}^3 \).

Tags

CCSS.7.G.B.6

Front

What is the volume of a pyramid with a base area of 80 yd² and a height of 4 yd?

Back

The volume is \( V = \frac{1}{3} \times 80 \times 4 = \frac{320}{3} \approx 106.67 \, \text{yd}^3 \).

Tags

CCSS.HSG.GMD.A.3