Surface Area and Volume of rectangular prisms and cylinders

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = l × w × h, where l = length, w = width, h = height.

Tags

CCSS.7.G.B.6

Front

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

Back

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

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r = radius, h = height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does surface area represent in a 3D shape?

Back

Surface area represents the total area of the outer surface of a 3D shape.

Front

If a rectangular prism has dimensions 4 in, 3 in, and 2 in, what is its volume?

Back

Volume = 4 × 3 × 2 = 24 cubic inches.

Tags

CCSS.7.G.B.6

Front

If a cylinder has a radius of 3 m and a height of 5 m, what is its volume?

Back

Volume = π(3)²(5) ≈ 141.37 cubic meters.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the surface area of a cube with a side length of 5 cm?

Back

Surface Area = 6s² = 6(5)² = 150 cm².

Tags

CCSS.6.G.A.4

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Height = Volume / (πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between surface area and volume in 3D shapes?

Back

Surface area measures the extent of the outer surface, while volume measures the space contained within.