HW: Effects of Dimensional Changes to Surface Area of 3D Figures

The surface area of a trapezoidal prism is 617 square feet. What is the new area if the

dimensions of the trapezoid are tripled?

• 1851 ft²

• 206 ft²

• 5553 ft²

• 617 ft²

A circular table has a radius of 2.5 meters. How many times larger is the table’s

area after its radius is doubled?

• The area is twice larger.

• The area is four times larger.

• The area is three times larger.

• The area is nine times larger.

If the dimensions of a figure are multiplied by 5, 

    how many times larger will the surface area be?

• 5 times larger

• 10 times larger

• 25 times larger

• 9 times larger

The surface area of a prism is 87 cm². Find the 

    surface area if the dimensions are doubled.

• 174 cm²

• 1392 cm²

• 783 cm²

• 348 cm²

Prism A is similar to Prism B. If Prism A has a surface area of 1,422 cm² and Prism B has a surface area of 158 cm², how many times larger is Prism A than Prism B?

• Prism A is 1/3 times smaller than Prism B.

• Prism A is 3 times larger than Prism B.

• Prism A is 9 times larger than Prism B.

• Prism A is 1/9 times smaller than Prism B.

Pyramid A is similar to pyramid B. If the surface area of pyramid A is 21 in² and the surface area of pyramid B is 756 in², which of the following is true about the two pyramids?

• Pyramid B is 6 times larger than pyramid A.

• Pyramid B is 36 times larger than pyramid A.

• Pyramid B is 4 times larger than pyramid A.

• Pyramid B is 3 times larger than pyramid A.

The surface area of a figure is 802 cm². If the dimensions are reduced by a factor of 1/4 , which of

the following accurately describes the effect of the changes in its area?

• The area is reduced by a factor of

  1/4.

• The area is reduced by a factor of

  1/16.

• The area is reduced by a factor of

  1/2.

• The area is reduced by a factor of 16.

Two regular hexagonal pyramids A and B are similar. Pyramid A has a surface area of 528 square

inches and pyramid B has a surface area of 13200 square inches.

Part A: How much larger is the surface area of pyramid B compared to the surface area of

pyramid A?

• Pyramid B is 3 times larger than pyramid A.

• Pyramid B is 5 times larger than pyramid A.

• Pyramid B is 9 times larger than pyramid A.

• Pyramid B is 25 times larger than pyramid A.

Two regular hexagonal pyramids A and B are similar. Pyramid A has a surface area of 528 square

inches and pyramid B has a surface area of 13200 square inches.

Part B: How much larger is pyramid B compared to pyramid A?

• Pyramid B is 3 times larger than pyramid A.

• Pyramid B is 5 times larger than pyramid A.

• Pyramid B is 9 times larger than pyramid A.

• Pyramid B is 25 times larger than pyramid A.

The surface area of a prism is 92 cm². Find the surface area if the dimensions are tripled.

• 276 cm²

• 31 cm²

• 846 cm²

• 828 cm²