Surface area and volume of prisms and cylinders

Front

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

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the surface area of a rectangular prism?

Back

Surface Area = 2(length × width + length × height + width × height).

Tags

CCSS.7.G.B.6

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 formula for the surface area of a cylinder?

Back

Surface Area = 2πr(h + r).

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

If a rectangular prism has dimensions 3 ft, 2 ft, and 5 ft, what is its volume?

Back

Volume = 3 × 2 × 5 = 30 ft³.

Tags

CCSS.7.G.B.6

Front

If a rectangular prism has dimensions 3 ft, 2 ft, and 5 ft, what is its surface area?

Back

Surface Area = 2(3×2 + 3×5 + 2×5) = 62 ft².

Tags

CCSS.7.G.B.6

Front

What is the relationship between volume and surface area for a rectangular prism with dimensions 3 ft, 2 ft, and 5 ft?

Back

Volume < Surface Area.

Tags

CCSS.7.G.B.6

Front

What is the volume of a triangular prism with a base area of 12 cm² and height of 8 cm?

Back

Volume = Base Area × Height = 12 × 8 = 96 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 5 cm and height of 10 cm?

Back

Volume = π(5)²(10) = 250π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3