Solve Problems Involving Surface Area and Volume

Which equation uses the correct formula to find the surface area of the shape?

Which answer correctly uses the formula to find the volume of the figure shown?

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)

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?

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?

• lwh

• 2lw+2lh+2wh

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?

• lwh

• 2lw+2lh+2wh

Which of the following could be an answer after finding VOLUME?

Which of the following could be an answer after finding SURFACE AREA?

A soda can is made out of aluminum. It is 12 centimeters tall and has a diameter of 7.5 centimeters. How many square inches of aluminum would be needed to make the can? Which equation is correctly written to solve the problem?

Find the surface area of this shape.  What equation correctly represents how you would solve the problem?