Area of Shapes Word Problems

A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal would be needed if there is no overlap?

• .06 m²

• 1.71 m²

• 1.75 m²

• 1.79 m²

Paul needs to paint a door in his house with the dimensions given in the picture. He wants to give the door 2 coats of paint. How many square centimeters of paint does he need?

• 67360 cm²

• 33680 cm²

• 66400 cm²

• 66880 cm²

Find the surface area of the tennis ball shown.

• 3053.6 cm²

• 254.5 cm²

• 1017.9 cm²

• 12791.0 cm²

Find the surface area of the flea circus tent shown.

• 1800 cm²

• 473.6 cm²

• 360 cm²

• 460 cm²

How much paper would be needed to put a label around this can (Don't include the top and bottom of the can) without overlapping.

• 325.7 cm²

• 418.2 cm²

• 261.4 cm²

• 83.2 cm²

Find the surface area of a cone with a base area of 49π in² and a slant height equal to twice the radius.

• 461.8 in²

• 15239.9 in²

• 615.8 in²

• 307.9 in²

How much paint would be needed to cover the outside of the hemisphere shaped bowl excluding the open top if the diameter is 10 in.?

• 523.6 in²

• 314.2 in²

• 235.6 in²

• 157.1 in²

How much wrapping paper would be required to wrap a gift box with a length of 16 in., a width of 8 in., and a height of 3 in. without any overlap?

• 384 in²

• 328 in²

• 400 in²

• 144 in²

The original surface area of a cone is 16π in². If both the original radius of 2 in. and the slant height of 6 in. were tripled, what would be the effect on the Surface Area of the new figure?

• The surface area would be 27 times as big

• The surface area would be 9 times as big

• The surface area would be 3 times as big

• The surface area would be divided by 9

The picture is a model of a barn that is being built. The bottom is a perfect cube with a square pyramid sitting on top. The architect wants to paint the whole outside of the model (including the bottom) red. How much red paint will he need to paint it?

• 228 cm²

• 312 cm²

• 360 cm²

• 240 cm²