3D Surface Area/Volume Review

Front

What is surface area?

Back

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

Front

What does the 'B' in the volume formula V = B x h stand for?

Back

Area of the base.

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.

Front

If a cylinder has a height of 10 inches and a radius of 3 inches, what is its volume?

Back

Volume = π(3²)(10) = 90π ≈ 282.6 in³.

Front

What is the surface area of a cylinder with a height of 6 inches and a diameter of 4 inches?

Back

Surface Area = 2πr(h + r) = 2π(2)(6 + 2) = 100.48 in².

Front

What is the formula for 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.

Front

How do you find the volume of a rectangular prism?

Back

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

Front

What is the surface area of a cube with a side length of 4 cm?

Back

Surface Area = 6s² = 6(4²) = 96 cm².

Front

If a cube has a volume of 125 cm³, what is the length of one side?

Back

Side length = ∛(125) = 5 cm.