Surface Area & Volume

The formula for the volume of a right cylinder is V = πr²h. If r = 3c and h = 4c + 2, what is the volume of the cylinder in terms of c?

• 12πc² + 6πc

• 36πc³ + 18πc²

• 36πc² + 18πc²

• 48πc³ + 24πc² + 48πc

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

While working at a donut shop, your boss tells you that each donut box is designed to hold exactly 12 donuts. However, specialty donuts take up more space, so including those means the customer gets fewer donuts. For example, a bar donut takes up the space of 2 donuts, and an apple fritter takes up the space of 4 donuts. If a customer wants 4 regular donuts, 2 apple fritters, and 1 bar donut, will their order fit into a donut box?

• Yes, the order will fit into a donut box.

• No, the order will not fit into a donut box.

Tags

CCSS.4.MD.A.2

4. Box A is a cube with side lengths of 6 cm. How many Box A cubes will fit inside Box B?

Mathematical Equivalence

ON

Tags

CCSS.5.MD.C.5A

CCSS.6.G.A.2

Elsie bought a fish tank that is 50 centimeters by 20 centimeters by 30 centimeters. If she can only fill the tank using a container that can carry 250 milliliters of water at a time, how many containers will she need to fill the entire tank with water? (NOTE: 1 cm³ = 1mL)

Mathematical Equivalence

ON

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Determine the volume of a right circular cylinder with a radius of r = 2b and height h = 5b + 3. (NOTE: The formula for area of a cylinder is V = πr²h)

• 20πb³ + 12πb²

• 16πb³ + 12πb²

• 20πb² + 12πb³

• 20πb + 12πb³

How many cubical blocks, each with edges of lengths 3 inches, are needed to fill a rectangular box that has inside dimensions 12 inches by 15 inches by 18 inches?

Mathematical Equivalence

OFF

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

How much wrapping paper is needed to cover the gift box, given that the length (l) is 12 inches, the width (w) is 8 inches, and the height (h) is 4 inches?

Mathematical Equivalence

ON

Tags

CCSS.6.G.A.4