Surface Area and Volume

Front

What is the formula for calculating 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 is the unit of measurement for volume?

Back

Common units for volume include cubic centimeters (cm³), liters (L), and cubic meters (m³).

Tags

CCSS.3.MD.A.2

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a three-dimensional object, while volume measures the amount of space inside the object.

Front

What does the term 'base area' refer to in volume calculations?

Back

Base area refers to the area of the base face of a three-dimensional shape, which is used in volume formulas.

Front

How do you calculate the surface area of a cube?

Back

Surface area = 6 × (side length)².

Tags

CCSS.6.G.A.4

Front

What is the formula for the volume of a cylinder?

Back

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 surface area of a sphere?

Back

Surface area = 4πr², where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of the height in volume calculations?

Back

Height is a critical dimension that, when multiplied by the base area, determines the overall volume of a three-dimensional object.

Tags

CCSS.7.G.B.6

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 total surface area of a prism?

Back

Total surface area = 2 × base area + lateral area.

Tags

CCSS.7.G.B.6