Lateral Surface Area
Total Surface Area
Cylinders
Rectangular Prisms
Triangular Prisms
100

What is the formula used to find the lateral surface area of a prism?

S = Ph

100

What is the formula used to find the total surface area of a prism?

S = Ph + 2B

100

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

1193 cm2

100
True or False You must know the lateral surface area to find the total surface area of a prism or a cylinder?
What is true?
100

Find the lateral surface area of a right triangular prism with a height of 15 cm and side lengths of 8 cm, 6 cm, and 10 cm.

360 cm2

200

What is the formula used to find the lateral surface area of a cylinder?

S=2πrh

200

What is the formula used to find the total surface area of a cylinder?

S = 2πrh + 2πr2

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 12 cm and a height of 15 cm. Round to the nearest whole number.

791 cm2

200

Find the lateral surface area and the total surface area of the rectangular prism with a length of 4 cm, a width of 6 cm, and a height of 5 cm.

Lateral = 100 cm

Total = 148 cm2

200

Find the total surface area of a right triangular prism with a height of 15 cm and side lengths of 8 cm, 6 cm, and 10 cm.

408 cm2

300

Kevin received a package in the mail containing the laptop he ordered online. The length of the box was 12 in, the width was 10 in, and the height was 4 in. Find the Lateral Surface Area of the box.

176 in2

300

It's almost your birthday and your parents are ordering a cake of your choice. The length of the cake is 10 in, the width is 6 in, and the height is 2 in. What is the total surface area of the cake?

184 in2

300

Lena is doing extra math problems to prepare for the 8th Grade STARR. 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 whole number.

283 ft2

300

Find the lateral surface area and the total surface area of the rectangular prism. The length is 4 m, the width is 2 m, and the height is 6 m.

Lateral = 72 m2

Total = 88 m2

300

Find the lateral surface area of an equilateral triangular prism with a height of 10 ft, side length of 5 ft, and perpendicular height of 4 ft.

150 ft2

400

Marissa is being held captive in Washington, D.C. The cage has a height of 12 ft, a length of 6 ft, and a width of 5 ft. What is the lateral surface area?

264 ft2

400

Bob is sick, so he decides to make chicken noodle soup. The can of soup has a radius of 2 in and a height of 3 in. What is the total surface area of the can of soup? Round to the nearest whole number.

63 in2

400

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

31 in2

400

Find the lateral surface area and the total surface area of the rectangular prism. The length is 3 cm, the width is 4 cm, and the height is 12 cm.

Lateral = 168 cm2

Total = 192 cm2

400

Find the total surface area of an equilateral triangular prism with a height of 10 ft, side length of 5 ft, and perpendicular height of 4 ft.

170 ft2

500

A box of cereal just came out to the market. The height is 9 in, the width is 4 in, and the length is 5 in. What's the lateral area?

162 in2

500

A gift is sent to Daniel in a rectangular box. The height of it is 7 ft, the length is 4 ft, and the width is 6ft. What is the total surface area?

188 ft2

500

A cylinder-shaped barrel has a diameter of 4 feet and a height of 6 feet. Solve for the total surface area of the barrel. Round to the nearest whole number.

101 ft2

500

Find the lateral surface area and the total surface area of the figure. The base is 3 ft, and the width is 6 ft, and the height is 2 ft.

Lateral = 36 ft2

Total = 72 ft2

500

Find the total surface area of an isosceles triangular prism where the area of the base equals 24 in, the perimeter of the base equals 18 in, and the height equals 12 in. 

264 in2

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