Volume/Surface Area STAAR Word Problems

Front

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

Back

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

Front

How do you calculate the lateral surface area of a prism?

Back

The lateral surface area of a prism is calculated by multiplying the perimeter of the base by the height of the prism: Lateral SA = Perimeter of base × Height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is given by 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

What is the formula for the volume of a sphere?

Back

The volume (V) of a sphere is given by the formula: V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The surface area (SA) of a sphere is given by the formula: SA = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a triangular prism?

Back

The volume (V) of a triangular prism is calculated using the formula: V = (1/2 × base × height of triangle) × height of prism.

Tags

CCSS.7.G.B.6

Front

What is the relationship between radius and diameter?

Back

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

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic inches (in³), cubic meters (m³), or liters.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important in volume calculations to provide a practical and usable measurement, especially when dealing with real-world applications.

Front

How do you convert between different units of volume?

Back

To convert between different units of volume, use conversion factors (e.g., 1 m³ = 1,000 L, 1 in³ = 16.387 cm³) to ensure accurate conversions.