Volume and Surface area of Solids

Front

What is the formula for the total surface area of a cone?

Back

Total Surface Area = πr(r + l), where r is the radius and l is the slant height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Define surface area.

Back

The sum of the areas of all surfaces on a three-dimensional figure.

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

How do you calculate the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

Volume = 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 surface area of a cube with side length 4 cm?

Back

Surface Area = 6s² = 6(4)² = 96 cm².

Tags

CCSS.6.G.A.4

Front

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

Back

Volume = s³ = 3³ = 27 cm³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

Surface Area = 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 volume of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?

Back

Volume = lwh = 2 × 3 × 4 = 24 cm³.

Tags

CCSS.7.G.B.6