Solving Surface Area and Volume for Prisms and Cylinders

Jessica is going to make a wooden jewelry box to give to her mom on her birthday. She is going to paint the box pink because it is her mom’s favorite color. The length of the box is 9 inches, the width is 5 inches, and the height is 3 inches. How much paint will be needed to paint the jewelry box? Which equation would be used to solve this problem?

• 2(9)(5) + 2(9)(3) +2(5)(3)

• 9(5)(3)

• $3.14\left(9\right)^2\left(5\right)$

• $2\left(3.14\right)\left(9\right)^2+2\left(3.14\right)\left(9\right)\left(5\right)$

Tags

CCSS.7.G.B.6

Mark is going to build a rectangular flower box to plant vegetables. He will purchase wood to build the the flower box. How much soil will be able to fit into the box if the length is 10 feet, the width is 3 feet and the height is 4 feet?

• $2\times10\times3$ + $2\times10\times4$ + $2\times3\times4$

• $10\times3\times4$

• $\pi\times10^2\times3$

• $2\times\pi\times10^2\$ + $2\times\pi\times10\times3$

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

LaShaun is in charge of designing a cereal box for a new company. The box will be 17.5 inches in height, 9 inches in length, and 3.5 inches in width. How much material will be needed to make one box? What is the correct formula you would need to solve this?

• $2\pi r^2h$

• $2\pi r^2+2\pi rh$

• lwh

• 2lw+2lh+2wh

Tags

CCSS.6.G.A.4

The city of Atlanta wants to paint a cylindrical-shaped water tank. The height of the tank is 88 feet and the radius is 25 feet. How much paint will be needed to paint the water tank? Which is the correct formula you would use?

• $\pi r^2h$

• $2\pi r^2+2\pi rh$

• lwh

• 2lw+2lh+2wh

You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?

• 8640 cubic feet
• 8400 cubic feet
• 8000 cubic feet
• 9600 cubic feet

Tags

CCSS.7.G.B.6

You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?

• 68.56 cubic inches
• 75.36 cubic inches
• 83.76 cubic inches
• 94.7 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A living room is 20 feet long, 50 feet wide, and 12 feet high.  How much paint do you need to cover the walls?

• 1680 feet ²
• 2680 feet ²
• 3680 feet ²
• 4680 feet ²

Tags

CCSS.6.G.A.4

A soup can has a radius of 2.5 inches and a height of 5 inches.  How much metal is needed to make the can?

• 119.5 inches ²
• 122.75 inches ²
• 78.5 inches ²
• 117.75 inches ²

Mathematical Equivalence

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