Volume

Front

What is the definition of volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the term 'radius' mean in relation to a circle?

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

What is the difference between radius and diameter?

Back

The diameter is twice the length of the radius; it is the distance across the circle through its center.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)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

How do you find the volume of a rectangular prism?

Back

V = l × w × h, where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

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

Back

B stands for the area of the base of the object.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a radius of 3 m and a height of 5 m, what is its volume?

Back

V = π(3)²(5) = 45π m³, approximately 141.37 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 4 cm?

Back

V = s³ = 4³ = 64 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2