Volume of prism+cylinder

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a prism?

Back

The volume of a prism is calculated using the formula: V = B * h, where B is the area of the base and h is the height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter of a circle is twice the radius. Therefore, D = 2r.

Front

How do you calculate the area of the base of a cylinder?

Back

The area of the base of a cylinder (which is a circle) is calculated using the formula: A = πr².

Tags

CCSS.7.G.B.4

Front

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

Back

The volume of a cube is calculated using the formula: V = s³. For a side length of 3 cm, V = 3³ = 27 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Using the formula V = πr²h, the volume is V = π(5)²(10) = 250π cm³, approximately 785.4 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a rectangular prism with a length of 4 cm, width of 3 cm, and height of 5 cm?

Back

The volume is calculated as V = l * w * h = 4 * 3 * 5 = 60 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 2 m and a height of 3 m?

Back

Using the formula V = πr²h, the volume is V = π(2)²(3) = 12π m³, approximately 37.7 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a prism with a triangular base that has an area of 10 cm² and a height of 6 cm?

Back

The volume is V = B * h = 10 * 6 = 60 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a diameter of 4 cm and a height of 5 cm?

Back

First, find the radius: r = 2 cm. Then, V = π(2)²(5) = 20π cm³, approximately 62.8 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3