Volume and Surface Area of Prisms and Cylinders

Front

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

Back

The volume (V) of a rectangular prism is calculated using the formula: V = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a cylinder?

Back

The surface area (SA) of a cylinder is calculated using the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

What does the term 'volume' refer to in geometry?

Back

Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

What does the term 'surface area' refer to in geometry?

Back

Surface area refers to the total area of the surface of a three-dimensional object, measured in square units.

Front

How do you calculate the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 cm)²(10 cm) = 250π cm³, approximately 785 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The diameter (d) of a circle is twice the radius (r): d = 2r.

Tags

CCSS.7.G.B.4

Front

What is the formula for the volume of a cube?

Back

The volume (V) of a cube is calculated using the formula: V = side³, where 'side' is the length of one edge.

Tags

CCSS.6.G.A.2

CCSS.5.MD.C.5B

Front

How do you find the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l is length, w is width, and h is height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the lateral surface area of a cylinder?

Back

The lateral surface area (LSA) of a cylinder is calculated using the formula: LSA = 2πrh, where r is the radius and h is the height.