2.13 Unit Test: Area and Volume - Part 1

Two similar solids have a scale factor of 5:3 . What is the ratio of their volumes, expressed in lowest terms? Enter your answer in the boxes.

125 : 27

A cylinder has a height of 21 cm and a volume of 11,144 cm³. What is the radius of the cylinder? Round your answer to the nearest whole number.

13 cm

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3. What is the area of the resulting triangle? Enter your answer in the box.

270 cm

A prism is dilated by a factor of 1.5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.

3.375

Spaceship Earth, a major tourist attraction, is a sphere whose diameter is approximately 50 m. What is the volume of Spaceship Earth? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest hundredth.

65416067 m3

A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5. What is the perimeter of the resulting rectangle? Enter your answer in the box.

72 ft

The city is planning to build a new park by enlarging the current park by a scale factor of 4. The current park has an area of 37,625 yd². What is the area of the new park? Enter your answer in the box.

602000 yd2

Isabella's Ice Cream Parlor uses waffle cones that are 5 inches in diameter and 6 inches tall. What is the volume of ice cream that completely fills one cone to the top? Enter your answer as a decimal in the box. Use 3.14 for pi.

39.25 in3

A cone with volume 5000 m³ is dilated by a scale factor of 1/5. What is the volume of the resulting cone? Enter your answer in the box.

40 m3

What is the area of this figure? Enter your answer in the box. https://static.k12.com/nextgen_media/assets/8093688-NG_GMT_SemB_09_UT_01.png

44 units2

What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm? Enter your answer in the box.

50 cm2

A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high. Approximately how much salsa did Kelly eat? Round your final answer to the nearest whole number.

565 cm³