Surface Area of Prisms and Cylinders

Lateral Surface Area

100

What is the lateral surface area of a box with a length of 8 inches, width of 7 inches, and height of 10 inches?

What is 300 inches²?

200

What is the lateral surface area of a can with a radius of 7cm and height of 12 cm? Round to the nearest tenth if necessary. 

What is 527.8cm^2?

300

Marissa wants to paint her bedroom. Her house has 10 foot ceilings and her room measures 14 by 13.4 feet. She will NOT paint the ceiling. How much paint will she need for her walls? Round to the nearest tenth if necessary.

What is 548ft²?

400

Tara enters a Design a Label contest. The winner will earn a $1000.00 scholarship. The requirements for the label is a can with a diameter of 4.5 cm and height of 12 cm. What is the area of the label? Round to the nearest tenth if necessary.

What 169.6cm² ?

500

What is the height of a triangular prism with the lateral surface area of 117 and perimeter of the base is 18?

What is 6.5 units?

Total Surface Area

100

What is the surface area of a 10 inch cube?

What is 600 inches² ?

200

Kevin plans to wrap a birthday present for a friend. The length of the box was 12in, the width was 10in, and the height was 4in. How much wrapping paper will he need? Round to the nearest tenth if necessary.

What is 416 in²?

300

Bob is creating a pencil holder out of an old can. The can has a diameter of 4 in. and a height of 5 in. What is the total surface area of the pencil holder? Round to the nearest tenth if necessary.

What is 88 in²?

400

Laynee is decorating a cake for a party. The cake is a standard 9x11 and 2 inches thick. How much icing will she need?

What is 179 in^2?

500

What is the height of a triangular prism with a total surface area of 135, the perimeter of base is 13.5, and area of the base is 13.5?

What is 8 units?

Cylinders

100

Molly is making tomato soup, and her sister wants to know the surface area. The tomato soup can has a radius of 10cm and a height of 9cm. What is the total surface area of the can? Round to the nearest tenth if necessary.

What is 1193.2cm2?

200

Lucy’s grandmother is flying down from New York to visit her. She brings a can cookie dough to bake her granddaughter’s favorite sugar cookies. She wants to know what the total surface area of the can of cookie dough is if it has a diameter of 12cm and a height of 15cm. Round to the nearest tenth if necessary.

What is 791.3cm2?

300

Lena is doing extra math problems to prepare for the FCAT. She is given a picture of a cylinder with a radius of 9 ft and a height of 5 ft, and is told to find only the lateral surface area. Round to the nearest tenth if necessary.

What is 282.6ft2?

400

Richard is preparing a can of soup. The diameter of the can is 2in while the height is 5in. Find the lateral surface area and the total surface area. Round to the nearest tenth if necessary.

What is 31.4in2?

500

A cylinder-shaped barrel has a lateral surface area of 75.4. The diameter of the barrel is 4 feet. What is the height of the barrel? (Round the nearest tenth if necessary)

What is 6 feet?

Formulas

100

What formula is used to find the Total Surface Area of a prism?

What is S= Ph + 2B? 

200

What formula is used to find the Lateral Surface Area of a prism?

What is S=Ph?

300

In the formula used to find the LATERAL surface area of a prism. What does the P represent?

What is PERIMETER of the base?

400

What formula is used to find the area of a label?

What is Lateral Surface Area of a cylinder? L.A=2πrh 

500

What formula would you use to explain the amount of icing needed for a rectangular cake?

What is the Total Surface Area of a prism minus 1 Base? (S= Ph + 1B)