Grade 8 · Math

8th grade Surface area of prisms and cylinders: problems worksheet

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Surface area of prisms and cylinders: problems

Grade 8 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Kira used 176 square inches of cardboard for a tall gift box, all six faces. The base is 4 inches by 4 inches. How tall is the box, in inches?
Luz used 700 square cm of cardboard for a storage box, all six faces. The base is 10 cm by 15 cm. How tall is the box, in cm?
Milo used 550 square cm of cardboard for a cardboard pencil box, all six faces. The base is 20 cm by 5 cm. How tall is the box, in cm?
Noah paints all six faces of a toy block, a cube, and covers 216 square cm. How long is each edge, in cm?
Pia paints all six faces of a cube-shaped box, a cube, and covers 384 square inches. How long is each edge, in inches?
Use the picture in question 4.
Tala paints all six faces of a tiny wooden block, a cube, and covers 13.5 square inches. How long is each edge, in inches?
Use the picture in question 4.
Zee's can has a curved side of 188.4 square cm and a height of 10 cm. What is its total surface area, in square cm? Use π = 3.14. Do not round.
Ari's short pillar candle has a curved side of 125.6 square cm and a height of 4 cm. What is its total surface area, in square cm? Use π = 3.14. Do not round.
Bo's thin candle has a curved side of 150.72 square cm and a height of 12 cm. What is its total surface area, in square cm? Use π = 3.14. Do not round.
Esme's toy drum has a curved side of 351.68 square cm and a height of 8 cm. What is its total surface area, in square cm? Use π = 3.14. Do not round.

Surface area of prisms and cylinders: problems. Every version has 10 questions, and the answer key prints on the second page.

I can find the lateral area (the sides) and the total surface area (the sides plus both bases) of a box, a cube, a triangular prism and a cylinder.
I can tell whether a story needs the lateral area, the total surface area or the volume.
I can work back from a surface area to a missing height, edge or radius.

Standard: state-only (prisms: CCSS 6.G.A.4, 7.G.B.6; cylinder surface area not in CCSS K–8)

lateral area: The area of the sides only, not the two bases.

total surface area: The sides plus both bases: every face of the outside.

base: One of the two matching ends of a prism or cylinder.

perimeter of the base: The distance around one base: the width of the unrolled sides.

net: The solid unfolded flat.

Your child added the two bases when only the sides were asked. Lateral area is the sides alone; total surface area adds the two bases.

Your child counted only the sides when the whole outside was asked. Total surface area adds both bases to the sides.

Your child added the perimeter and the height. The sides unroll into a rectangle: its area is its width times its height.

What is the most common mistake with surface area of prisms and cylinders: problems?

Your child added the two bases when only the sides were asked. Lateral area is the sides alone; total surface area adds the two bases.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records